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Finding the Third Proportional to 534,541.50 and 1,077,831

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Solution

The third proportional to 534,541.50 and 1,077,831 is: 2,173,301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,541.50 : 1,077,831 = 1,077,831 : x
  2. Step 2: Convert to fraction form
    534,541.50/1,077,831 = 1,077,831/x
  3. Step 3: Cross multiply
    534,541.50x = 1,077,831 × 1,077,831
  4. Step 4: Simplify right side
    534,541.50x = 1,161,719,664,561
  5. Step 5: Solve for x
    x = 1,161,719,664,561/534,541.50
  6. Step 6: Final answer
    x = 2,173,301.16

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.