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Finding the Third Proportional to 502,609 and 1,083,950

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Solution

The third proportional to 502,609 and 1,083,950 is: 2,337,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,609 : 1,083,950 = 1,083,950 : x
  2. Step 2: Convert to fraction form
    502,609/1,083,950 = 1,083,950/x
  3. Step 3: Cross multiply
    502,609x = 1,083,950 × 1,083,950
  4. Step 4: Simplify right side
    502,609x = 1,174,947,602,500
  5. Step 5: Solve for x
    x = 1,174,947,602,500/502,609
  6. Step 6: Final answer
    x = 2,337,697.10

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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.