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Finding the Third Proportional to 1,413,920 and 2,141,472

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Solution

The third proportional to 1,413,920 and 2,141,472 is: 3,243,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413,920 : 2,141,472 = 2,141,472 : x
  2. Step 2: Convert to fraction form
    1,413,920/2,141,472 = 2,141,472/x
  3. Step 3: Cross multiply
    1,413,920x = 2,141,472 × 2,141,472
  4. Step 4: Simplify right side
    1,413,920x = 4,585,902,326,784
  5. Step 5: Solve for x
    x = 4,585,902,326,784/1,413,920
  6. Step 6: Final answer
    x = 3,243,395.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.