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Finding the Third Proportional to 401,614 and 865,436

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Solution

The third proportional to 401,614 and 865,436 is: 1,864,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,614 : 865,436 = 865,436 : x
  2. Step 2: Convert to fraction form
    401,614/865,436 = 865,436/x
  3. Step 3: Cross multiply
    401,614x = 865,436 × 865,436
  4. Step 4: Simplify right side
    401,614x = 748,979,470,096
  5. Step 5: Solve for x
    x = 748,979,470,096/401,614
  6. Step 6: Final answer
    x = 1,864,923.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.