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Finding the Third Proportional to 659,636 and 1,412,552

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Solution

The third proportional to 659,636 and 1,412,552 is: 3,024,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,636 : 1,412,552 = 1,412,552 : x
  2. Step 2: Convert to fraction form
    659,636/1,412,552 = 1,412,552/x
  3. Step 3: Cross multiply
    659,636x = 1,412,552 × 1,412,552
  4. Step 4: Simplify right side
    659,636x = 1,995,303,152,704
  5. Step 5: Solve for x
    x = 1,995,303,152,704/659,636
  6. Step 6: Final answer
    x = 3,024,854.85

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