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Finding the Third Proportional to 489,832,487 and 1,057,587,784

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Solution

The third proportional to 489,832,487 and 1,057,587,784 is: 2,283,417,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,832,487 : 1,057,587,784 = 1,057,587,784 : x
  2. Step 2: Convert to fraction form
    489,832,487/1,057,587,784 = 1,057,587,784/x
  3. Step 3: Cross multiply
    489,832,487x = 1,057,587,784 × 1,057,587,784
  4. Step 4: Simplify right side
    489,832,487x = 1,118,491,920,866,030,592
  5. Step 5: Solve for x
    x = 1,118,491,920,866,030,592/489,832,487
  6. Step 6: Final answer
    x = 2,283,417,189.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.