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Finding the Third Proportional to 415,806 and 875,079

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Solution

The third proportional to 415,806 and 875,079 is: 1,841,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,806 : 875,079 = 875,079 : x
  2. Step 2: Convert to fraction form
    415,806/875,079 = 875,079/x
  3. Step 3: Cross multiply
    415,806x = 875,079 × 875,079
  4. Step 4: Simplify right side
    415,806x = 765,763,256,241
  5. Step 5: Solve for x
    x = 765,763,256,241/415,806
  6. Step 6: Final answer
    x = 1,841,635.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.