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Finding the Third Proportional to 649,908 and 1,011,645

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Solution

The third proportional to 649,908 and 1,011,645 is: 1,574,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,908 : 1,011,645 = 1,011,645 : x
  2. Step 2: Convert to fraction form
    649,908/1,011,645 = 1,011,645/x
  3. Step 3: Cross multiply
    649,908x = 1,011,645 × 1,011,645
  4. Step 4: Simplify right side
    649,908x = 1,023,425,606,025
  5. Step 5: Solve for x
    x = 1,023,425,606,025/649,908
  6. Step 6: Final answer
    x = 1,574,723.82

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.