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Finding the Third Proportional to 539,693 and 1,162,446

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Solution

The third proportional to 539,693 and 1,162,446 is: 2,503,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,693 : 1,162,446 = 1,162,446 : x
  2. Step 2: Convert to fraction form
    539,693/1,162,446 = 1,162,446/x
  3. Step 3: Cross multiply
    539,693x = 1,162,446 × 1,162,446
  4. Step 4: Simplify right side
    539,693x = 1,351,280,702,916
  5. Step 5: Solve for x
    x = 1,351,280,702,916/539,693
  6. Step 6: Final answer
    x = 2,503,795.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.