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Finding the Third Proportional to 415,856 and 846,785

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Solution

The third proportional to 415,856 and 846,785 is: 1,724,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,856 : 846,785 = 846,785 : x
  2. Step 2: Convert to fraction form
    415,856/846,785 = 846,785/x
  3. Step 3: Cross multiply
    415,856x = 846,785 × 846,785
  4. Step 4: Simplify right side
    415,856x = 717,044,836,225
  5. Step 5: Solve for x
    x = 717,044,836,225/415,856
  6. Step 6: Final answer
    x = 1,724,262.33

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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.