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Finding the Third Proportional to 400,580,306 and 854,071,784

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Solution

The third proportional to 400,580,306 and 854,071,784 is: 1,820,954,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,580,306 : 854,071,784 = 854,071,784 : x
  2. Step 2: Convert to fraction form
    400,580,306/854,071,784 = 854,071,784/x
  3. Step 3: Cross multiply
    400,580,306x = 854,071,784 × 854,071,784
  4. Step 4: Simplify right side
    400,580,306x = 729,438,612,224,942,592
  5. Step 5: Solve for x
    x = 729,438,612,224,942,592/400,580,306
  6. Step 6: Final answer
    x = 1,820,954,753.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.