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Finding the Third Proportional to 560,832 and 1,233,809

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Solution

The third proportional to 560,832 and 1,233,809 is: 2,714,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,832 : 1,233,809 = 1,233,809 : x
  2. Step 2: Convert to fraction form
    560,832/1,233,809 = 1,233,809/x
  3. Step 3: Cross multiply
    560,832x = 1,233,809 × 1,233,809
  4. Step 4: Simplify right side
    560,832x = 1,522,284,648,481
  5. Step 5: Solve for x
    x = 1,522,284,648,481/560,832
  6. Step 6: Final answer
    x = 2,714,332.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.