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Finding the Third Proportional to 649,085 and 1,412,463

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Solution

The third proportional to 649,085 and 1,412,463 is: 3,073,637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,085 : 1,412,463 = 1,412,463 : x
  2. Step 2: Convert to fraction form
    649,085/1,412,463 = 1,412,463/x
  3. Step 3: Cross multiply
    649,085x = 1,412,463 × 1,412,463
  4. Step 4: Simplify right side
    649,085x = 1,995,051,726,369
  5. Step 5: Solve for x
    x = 1,995,051,726,369/649,085
  6. Step 6: Final answer
    x = 3,073,637.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.