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Finding the Third Proportional to 431,566 and 957,452

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Solution

The third proportional to 431,566 and 957,452 is: 2,124,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,566 : 957,452 = 957,452 : x
  2. Step 2: Convert to fraction form
    431,566/957,452 = 957,452/x
  3. Step 3: Cross multiply
    431,566x = 957,452 × 957,452
  4. Step 4: Simplify right side
    431,566x = 916,714,332,304
  5. Step 5: Solve for x
    x = 916,714,332,304/431,566
  6. Step 6: Final answer
    x = 2,124,157.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.