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Finding the Third Proportional to 527,771 and 1,158,301

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Solution

The third proportional to 527,771 and 1,158,301 is: 2,542,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,771 : 1,158,301 = 1,158,301 : x
  2. Step 2: Convert to fraction form
    527,771/1,158,301 = 1,158,301/x
  3. Step 3: Cross multiply
    527,771x = 1,158,301 × 1,158,301
  4. Step 4: Simplify right side
    527,771x = 1,341,661,206,601
  5. Step 5: Solve for x
    x = 1,341,661,206,601/527,771
  6. Step 6: Final answer
    x = 2,542,127.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.