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Finding the Third Proportional to 581,229 and 906,282

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Solution

The third proportional to 581,229 and 906,282 is: 1,413,121.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,229 : 906,282 = 906,282 : x
  2. Step 2: Convert to fraction form
    581,229/906,282 = 906,282/x
  3. Step 3: Cross multiply
    581,229x = 906,282 × 906,282
  4. Step 4: Simplify right side
    581,229x = 821,347,063,524
  5. Step 5: Solve for x
    x = 821,347,063,524/581,229
  6. Step 6: Final answer
    x = 1,413,121.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.