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Finding the Third Proportional to 649,126 and 1,412,538

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Solution

The third proportional to 649,126 and 1,412,538 is: 3,073,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,126 : 1,412,538 = 1,412,538 : x
  2. Step 2: Convert to fraction form
    649,126/1,412,538 = 1,412,538/x
  3. Step 3: Cross multiply
    649,126x = 1,412,538 × 1,412,538
  4. Step 4: Simplify right side
    649,126x = 1,995,263,601,444
  5. Step 5: Solve for x
    x = 1,995,263,601,444/649,126
  6. Step 6: Final answer
    x = 3,073,769.35

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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.