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Finding the Third Proportional to 577,122 and 862,452

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Solution

The third proportional to 577,122 and 862,452 is: 1,288,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,122 : 862,452 = 862,452 : x
  2. Step 2: Convert to fraction form
    577,122/862,452 = 862,452/x
  3. Step 3: Cross multiply
    577,122x = 862,452 × 862,452
  4. Step 4: Simplify right side
    577,122x = 743,823,452,304
  5. Step 5: Solve for x
    x = 743,823,452,304/577,122
  6. Step 6: Final answer
    x = 1,288,849.59

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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.