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Finding the Third Proportional to 539,697 and 1,172,703

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Solution

The third proportional to 539,697 and 1,172,703 is: 2,548,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,697 : 1,172,703 = 1,172,703 : x
  2. Step 2: Convert to fraction form
    539,697/1,172,703 = 1,172,703/x
  3. Step 3: Cross multiply
    539,697x = 1,172,703 × 1,172,703
  4. Step 4: Simplify right side
    539,697x = 1,375,232,326,209
  5. Step 5: Solve for x
    x = 1,375,232,326,209/539,697
  6. Step 6: Final answer
    x = 2,548,156.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.