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Finding the Third Proportional to 551,446 and 1,214,632

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Solution

The third proportional to 551,446 and 1,214,632 is: 2,675,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,446 : 1,214,632 = 1,214,632 : x
  2. Step 2: Convert to fraction form
    551,446/1,214,632 = 1,214,632/x
  3. Step 3: Cross multiply
    551,446x = 1,214,632 × 1,214,632
  4. Step 4: Simplify right side
    551,446x = 1,475,330,895,424
  5. Step 5: Solve for x
    x = 1,475,330,895,424/551,446
  6. Step 6: Final answer
    x = 2,675,385.98

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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.