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Finding the Third Proportional to 689,324.55 and 1,514,713.92

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Solution

The third proportional to 689,324.55 and 1,514,713.92 is: 3,328,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,324.55 : 1,514,713.92 = 1,514,713.92 : x
  2. Step 2: Convert to fraction form
    689,324.55/1,514,713.92 = 1,514,713.92/x
  3. Step 3: Cross multiply
    689,324.55x = 1,514,713.92 × 1,514,713.92
  4. Step 4: Simplify right side
    689,324.55x = 2,294,358,265,121.94
  5. Step 5: Solve for x
    x = 2,294,358,265,121.94/689,324.55
  6. Step 6: Final answer
    x = 3,328,415.11

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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.