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Finding the Third Proportional to 847,288 and 1,251,216

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Solution

The third proportional to 847,288 and 1,251,216 is: 1,847,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,288 : 1,251,216 = 1,251,216 : x
  2. Step 2: Convert to fraction form
    847,288/1,251,216 = 1,251,216/x
  3. Step 3: Cross multiply
    847,288x = 1,251,216 × 1,251,216
  4. Step 4: Simplify right side
    847,288x = 1,565,541,478,656
  5. Step 5: Solve for x
    x = 1,565,541,478,656/847,288
  6. Step 6: Final answer
    x = 1,847,708.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.