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Finding the Third Proportional to 413,751.38 and 892,818

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Solution

The third proportional to 413,751.38 and 892,818 is: 1,926,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,751.38 : 892,818 = 892,818 : x
  2. Step 2: Convert to fraction form
    413,751.38/892,818 = 892,818/x
  3. Step 3: Cross multiply
    413,751.38x = 892,818 × 892,818
  4. Step 4: Simplify right side
    413,751.38x = 797,123,981,124
  5. Step 5: Solve for x
    x = 797,123,981,124/413,751.38
  6. Step 6: Final answer
    x = 1,926,577.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.