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Finding the Third Proportional to 292,706,710 and 578,010,666

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Solution

The third proportional to 292,706,710 and 578,010,666 is: 1,141,403,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,706,710 : 578,010,666 = 578,010,666 : x
  2. Step 2: Convert to fraction form
    292,706,710/578,010,666 = 578,010,666/x
  3. Step 3: Cross multiply
    292,706,710x = 578,010,666 × 578,010,666
  4. Step 4: Simplify right side
    292,706,710x = 334,096,330,009,763,584
  5. Step 5: Solve for x
    x = 334,096,330,009,763,584/292,706,710
  6. Step 6: Final answer
    x = 1,141,403,044.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.