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Finding the Third Proportional to 689,330.25 and 1,514,732.91

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Solution

The third proportional to 689,330.25 and 1,514,732.91 is: 3,328,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,330.25 : 1,514,732.91 = 1,514,732.91 : x
  2. Step 2: Convert to fraction form
    689,330.25/1,514,732.91 = 1,514,732.91/x
  3. Step 3: Cross multiply
    689,330.25x = 1,514,732.91 × 1,514,732.91
  4. Step 4: Simplify right side
    689,330.25x = 2,294,415,777,276.57
  5. Step 5: Solve for x
    x = 2,294,415,777,276.57/689,330.25
  6. Step 6: Final answer
    x = 3,328,471.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.