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Finding the Third Proportional to 415,864 and 846,801

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Solution

The third proportional to 415,864 and 846,801 is: 1,724,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,864 : 846,801 = 846,801 : x
  2. Step 2: Convert to fraction form
    415,864/846,801 = 846,801/x
  3. Step 3: Cross multiply
    415,864x = 846,801 × 846,801
  4. Step 4: Simplify right side
    415,864x = 717,071,933,601
  5. Step 5: Solve for x
    x = 717,071,933,601/415,864
  6. Step 6: Final answer
    x = 1,724,294.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.