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Finding the Third Proportional to 415,704 and 895,520

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Solution

The third proportional to 415,704 and 895,520 is: 1,929,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,704 : 895,520 = 895,520 : x
  2. Step 2: Convert to fraction form
    415,704/895,520 = 895,520/x
  3. Step 3: Cross multiply
    415,704x = 895,520 × 895,520
  4. Step 4: Simplify right side
    415,704x = 801,956,070,400
  5. Step 5: Solve for x
    x = 801,956,070,400/415,704
  6. Step 6: Final answer
    x = 1,929,151.68

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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.