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Finding the Third Proportional to 1,877,471 and 3,854,472

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Solution

The third proportional to 1,877,471 and 3,854,472 is: 7,913,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877,471 : 3,854,472 = 3,854,472 : x
  2. Step 2: Convert to fraction form
    1,877,471/3,854,472 = 3,854,472/x
  3. Step 3: Cross multiply
    1,877,471x = 3,854,472 × 3,854,472
  4. Step 4: Simplify right side
    1,877,471x = 14,856,954,398,784
  5. Step 5: Solve for x
    x = 14,856,954,398,784/1,877,471
  6. Step 6: Final answer
    x = 7,913,280.36

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.