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Finding the Third Proportional to 411,732 and 880,540

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Solution

The third proportional to 411,732 and 880,540 is: 1,883,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,732 : 880,540 = 880,540 : x
  2. Step 2: Convert to fraction form
    411,732/880,540 = 880,540/x
  3. Step 3: Cross multiply
    411,732x = 880,540 × 880,540
  4. Step 4: Simplify right side
    411,732x = 775,350,691,600
  5. Step 5: Solve for x
    x = 775,350,691,600/411,732
  6. Step 6: Final answer
    x = 1,883,144.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.