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Finding the Third Proportional to 834,814 and 1,247,288

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Solution

The third proportional to 834,814 and 1,247,288 is: 1,863,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,814 : 1,247,288 = 1,247,288 : x
  2. Step 2: Convert to fraction form
    834,814/1,247,288 = 1,247,288/x
  3. Step 3: Cross multiply
    834,814x = 1,247,288 × 1,247,288
  4. Step 4: Simplify right side
    834,814x = 1,555,727,354,944
  5. Step 5: Solve for x
    x = 1,555,727,354,944/834,814
  6. Step 6: Final answer
    x = 1,863,561.65

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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.