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Finding the Third Proportional to 454,266,384 and 986,061,396

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Solution

The third proportional to 454,266,384 and 986,061,396 is: 2,140,411,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,266,384 : 986,061,396 = 986,061,396 : x
  2. Step 2: Convert to fraction form
    454,266,384/986,061,396 = 986,061,396/x
  3. Step 3: Cross multiply
    454,266,384x = 986,061,396 × 986,061,396
  4. Step 4: Simplify right side
    454,266,384x = 972,317,076,681,468,800
  5. Step 5: Solve for x
    x = 972,317,076,681,468,800/454,266,384
  6. Step 6: Final answer
    x = 2,140,411,685.58

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