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Finding the Third Proportional to 787,831.31 and 1,234,576.69

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Solution

The third proportional to 787,831.31 and 1,234,576.69 is: 1,934,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,831.31 : 1,234,576.69 = 1,234,576.69 : x
  2. Step 2: Convert to fraction form
    787,831.31/1,234,576.69 = 1,234,576.69/x
  3. Step 3: Cross multiply
    787,831.31x = 1,234,576.69 × 1,234,576.69
  4. Step 4: Simplify right side
    787,831.31x = 1,524,179,597,318.47
  5. Step 5: Solve for x
    x = 1,524,179,597,318.47/787,831.31
  6. Step 6: Final answer
    x = 1,934,652.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.