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Finding the Third Proportional to 491,538 and 1,070,484

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Solution

The third proportional to 491,538 and 1,070,484 is: 2,331,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,538 : 1,070,484 = 1,070,484 : x
  2. Step 2: Convert to fraction form
    491,538/1,070,484 = 1,070,484/x
  3. Step 3: Cross multiply
    491,538x = 1,070,484 × 1,070,484
  4. Step 4: Simplify right side
    491,538x = 1,145,935,994,256
  5. Step 5: Solve for x
    x = 1,145,935,994,256/491,538
  6. Step 6: Final answer
    x = 2,331,327.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.