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Finding the Third Proportional to 834,812 and 1,247,285

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Solution

The third proportional to 834,812 and 1,247,285 is: 1,863,557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,812 : 1,247,285 = 1,247,285 : x
  2. Step 2: Convert to fraction form
    834,812/1,247,285 = 1,247,285/x
  3. Step 3: Cross multiply
    834,812x = 1,247,285 × 1,247,285
  4. Step 4: Simplify right side
    834,812x = 1,555,719,871,225
  5. Step 5: Solve for x
    x = 1,555,719,871,225/834,812
  6. Step 6: Final answer
    x = 1,863,557.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.