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Finding the Third Proportional to 526,443 and 1,077,838.50

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Solution

The third proportional to 526,443 and 1,077,838.50 is: 2,206,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,443 : 1,077,838.50 = 1,077,838.50 : x
  2. Step 2: Convert to fraction form
    526,443/1,077,838.50 = 1,077,838.50/x
  3. Step 3: Cross multiply
    526,443x = 1,077,838.50 × 1,077,838.50
  4. Step 4: Simplify right side
    526,443x = 1,161,735,832,082.25
  5. Step 5: Solve for x
    x = 1,161,735,832,082.25/526,443
  6. Step 6: Final answer
    x = 2,206,764.71

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.