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Finding the Third Proportional to 530,689 and 1,165,632

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Solution

The third proportional to 530,689 and 1,165,632 is: 2,560,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,689 : 1,165,632 = 1,165,632 : x
  2. Step 2: Convert to fraction form
    530,689/1,165,632 = 1,165,632/x
  3. Step 3: Cross multiply
    530,689x = 1,165,632 × 1,165,632
  4. Step 4: Simplify right side
    530,689x = 1,358,697,959,424
  5. Step 5: Solve for x
    x = 1,358,697,959,424/530,689
  6. Step 6: Final answer
    x = 2,560,252.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.