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Finding the Third Proportional to 527,068 and 1,159,094

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Solution

The third proportional to 527,068 and 1,159,094 is: 2,549,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,068 : 1,159,094 = 1,159,094 : x
  2. Step 2: Convert to fraction form
    527,068/1,159,094 = 1,159,094/x
  3. Step 3: Cross multiply
    527,068x = 1,159,094 × 1,159,094
  4. Step 4: Simplify right side
    527,068x = 1,343,498,900,836
  5. Step 5: Solve for x
    x = 1,343,498,900,836/527,068
  6. Step 6: Final answer
    x = 2,549,004.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.