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Finding the Third Proportional to 847,290 and 1,251,219

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Solution

The third proportional to 847,290 and 1,251,219 is: 1,847,713.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,290 : 1,251,219 = 1,251,219 : x
  2. Step 2: Convert to fraction form
    847,290/1,251,219 = 1,251,219/x
  3. Step 3: Cross multiply
    847,290x = 1,251,219 × 1,251,219
  4. Step 4: Simplify right side
    847,290x = 1,565,548,985,961
  5. Step 5: Solve for x
    x = 1,565,548,985,961/847,290
  6. Step 6: Final answer
    x = 1,847,713.28

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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.