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Finding the Third Proportional to 418,569 and 916,761

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Solution

The third proportional to 418,569 and 916,761 is: 2,007,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,569 : 916,761 = 916,761 : x
  2. Step 2: Convert to fraction form
    418,569/916,761 = 916,761/x
  3. Step 3: Cross multiply
    418,569x = 916,761 × 916,761
  4. Step 4: Simplify right side
    418,569x = 840,450,731,121
  5. Step 5: Solve for x
    x = 840,450,731,121/418,569
  6. Step 6: Final answer
    x = 2,007,914.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.