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Finding the Third Proportional to 502,583 and 1,083,897

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Solution

The third proportional to 502,583 and 1,083,897 is: 2,337,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,583 : 1,083,897 = 1,083,897 : x
  2. Step 2: Convert to fraction form
    502,583/1,083,897 = 1,083,897/x
  3. Step 3: Cross multiply
    502,583x = 1,083,897 × 1,083,897
  4. Step 4: Simplify right side
    502,583x = 1,174,832,706,609
  5. Step 5: Solve for x
    x = 1,174,832,706,609/502,583
  6. Step 6: Final answer
    x = 2,337,589.43

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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.