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Finding the Third Proportional to 526,440.52 and 1,077,832.20

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Solution

The third proportional to 526,440.52 and 1,077,832.20 is: 2,206,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,440.52 : 1,077,832.20 = 1,077,832.20 : x
  2. Step 2: Convert to fraction form
    526,440.52/1,077,832.20 = 1,077,832.20/x
  3. Step 3: Cross multiply
    526,440.52x = 1,077,832.20 × 1,077,832.20
  4. Step 4: Simplify right side
    526,440.52x = 1,161,722,241,252.16
  5. Step 5: Solve for x
    x = 1,161,722,241,252.16/526,440.52
  6. Step 6: Final answer
    x = 2,206,749.30

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Why These Related Problems?

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