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Finding the Third Proportional to 772,446.38 and 1,565,902.13

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Solution

The third proportional to 772,446.38 and 1,565,902.13 is: 3,174,394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,446.38 : 1,565,902.13 = 1,565,902.13 : x
  2. Step 2: Convert to fraction form
    772,446.38/1,565,902.13 = 1,565,902.13/x
  3. Step 3: Cross multiply
    772,446.38x = 1,565,902.13 × 1,565,902.13
  4. Step 4: Simplify right side
    772,446.38x = 2,452,049,465,079.52
  5. Step 5: Solve for x
    x = 2,452,049,465,079.52/772,446.38
  6. Step 6: Final answer
    x = 3,174,394.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.