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Finding the Third Proportional to 560,920 and 847,244

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Solution

The third proportional to 560,920 and 847,244 is: 1,279,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,920 : 847,244 = 847,244 : x
  2. Step 2: Convert to fraction form
    560,920/847,244 = 847,244/x
  3. Step 3: Cross multiply
    560,920x = 847,244 × 847,244
  4. Step 4: Simplify right side
    560,920x = 717,822,395,536
  5. Step 5: Solve for x
    x = 717,822,395,536/560,920
  6. Step 6: Final answer
    x = 1,279,723.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.