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Finding the Third Proportional to 572,549 and 886,983

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Solution

The third proportional to 572,549 and 886,983 is: 1,374,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,549 : 886,983 = 886,983 : x
  2. Step 2: Convert to fraction form
    572,549/886,983 = 886,983/x
  3. Step 3: Cross multiply
    572,549x = 886,983 × 886,983
  4. Step 4: Simplify right side
    572,549x = 786,738,842,289
  5. Step 5: Solve for x
    x = 786,738,842,289/572,549
  6. Step 6: Final answer
    x = 1,374,098.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.