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Finding the Third Proportional to 763,657.88 and 1,508,041.13

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Solution

The third proportional to 763,657.88 and 1,508,041.13 is: 2,978,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,657.88 : 1,508,041.13 = 1,508,041.13 : x
  2. Step 2: Convert to fraction form
    763,657.88/1,508,041.13 = 1,508,041.13/x
  3. Step 3: Cross multiply
    763,657.88x = 1,508,041.13 × 1,508,041.13
  4. Step 4: Simplify right side
    763,657.88x = 2,274,188,034,691.27
  5. Step 5: Solve for x
    x = 2,274,188,034,691.27/763,657.88
  6. Step 6: Final answer
    x = 2,978,019.49

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.