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Finding the Third Proportional to 527,084 and 1,155,743

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Solution

The third proportional to 527,084 and 1,155,743 is: 2,534,210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,084 : 1,155,743 = 1,155,743 : x
  2. Step 2: Convert to fraction form
    527,084/1,155,743 = 1,155,743/x
  3. Step 3: Cross multiply
    527,084x = 1,155,743 × 1,155,743
  4. Step 4: Simplify right side
    527,084x = 1,335,741,882,049
  5. Step 5: Solve for x
    x = 1,335,741,882,049/527,084
  6. Step 6: Final answer
    x = 2,534,210.64

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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.