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Finding the Third Proportional to 502,195.57 and 1,083,778.10

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Solution

The third proportional to 502,195.57 and 1,083,778.10 is: 2,338,879.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,195.57 : 1,083,778.10 = 1,083,778.10 : x
  2. Step 2: Convert to fraction form
    502,195.57/1,083,778.10 = 1,083,778.10/x
  3. Step 3: Cross multiply
    502,195.57x = 1,083,778.10 × 1,083,778.10
  4. Step 4: Simplify right side
    502,195.57x = 1,174,574,973,426.42
  5. Step 5: Solve for x
    x = 1,174,574,973,426.42/502,195.57
  6. Step 6: Final answer
    x = 2,338,879.60

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Why These Related Problems?

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