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Finding the Third Proportional to 649,124 and 1,412,534

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Solution

The third proportional to 649,124 and 1,412,534 is: 3,073,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,124 : 1,412,534 = 1,412,534 : x
  2. Step 2: Convert to fraction form
    649,124/1,412,534 = 1,412,534/x
  3. Step 3: Cross multiply
    649,124x = 1,412,534 × 1,412,534
  4. Step 4: Simplify right side
    649,124x = 1,995,252,301,156
  5. Step 5: Solve for x
    x = 1,995,252,301,156/649,124
  6. Step 6: Final answer
    x = 3,073,761.41

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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.