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Finding the Third Proportional to 538,938,426 and 1,169,351,289

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Solution

The third proportional to 538,938,426 and 1,169,351,289 is: 2,537,177,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,938,426 : 1,169,351,289 = 1,169,351,289 : x
  2. Step 2: Convert to fraction form
    538,938,426/1,169,351,289 = 1,169,351,289/x
  3. Step 3: Cross multiply
    538,938,426x = 1,169,351,289 × 1,169,351,289
  4. Step 4: Simplify right side
    538,938,426x = 1,367,382,437,085,961,472
  5. Step 5: Solve for x
    x = 1,367,382,437,085,961,472/538,938,426
  6. Step 6: Final answer
    x = 2,537,177,479.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.