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Finding the Third Proportional to 544,794,420,428 and 1,170,438,086,574

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Solution

The third proportional to 544,794,420,428 and 1,170,438,086,574 is: 2,514,572,952,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,794,420,428 : 1,170,438,086,574 = 1,170,438,086,574 : x
  2. Step 2: Convert to fraction form
    544,794,420,428/1,170,438,086,574 = 1,170,438,086,574/x
  3. Step 3: Cross multiply
    544,794,420,428x = 1,170,438,086,574 × 1,170,438,086,574
  4. Step 4: Simplify right side
    544,794,420,428x = 1,369,925,314,503,006,346,018,816
  5. Step 5: Solve for x
    x = 1,369,925,314,503,006,346,018,816/544,794,420,428
  6. Step 6: Final answer
    x = 2,514,572,952,907.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.