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Finding the Third Proportional to 458,787 and 987,882

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Solution

The third proportional to 458,787 and 987,882 is: 2,127,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,787 : 987,882 = 987,882 : x
  2. Step 2: Convert to fraction form
    458,787/987,882 = 987,882/x
  3. Step 3: Cross multiply
    458,787x = 987,882 × 987,882
  4. Step 4: Simplify right side
    458,787x = 975,910,845,924
  5. Step 5: Solve for x
    x = 975,910,845,924/458,787
  6. Step 6: Final answer
    x = 2,127,154.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.