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Finding the Third Proportional to 527,948 and 1,155,670

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Solution

The third proportional to 527,948 and 1,155,670 is: 2,529,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,948 : 1,155,670 = 1,155,670 : x
  2. Step 2: Convert to fraction form
    527,948/1,155,670 = 1,155,670/x
  3. Step 3: Cross multiply
    527,948x = 1,155,670 × 1,155,670
  4. Step 4: Simplify right side
    527,948x = 1,335,573,148,900
  5. Step 5: Solve for x
    x = 1,335,573,148,900/527,948
  6. Step 6: Final answer
    x = 2,529,743.74

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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.