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Finding the Third Proportional to 721,242 and 1,542,541.50

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Solution

The third proportional to 721,242 and 1,542,541.50 is: 3,299,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,242 : 1,542,541.50 = 1,542,541.50 : x
  2. Step 2: Convert to fraction form
    721,242/1,542,541.50 = 1,542,541.50/x
  3. Step 3: Cross multiply
    721,242x = 1,542,541.50 × 1,542,541.50
  4. Step 4: Simplify right side
    721,242x = 2,379,434,279,222.25
  5. Step 5: Solve for x
    x = 2,379,434,279,222.25/721,242
  6. Step 6: Final answer
    x = 3,299,078.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.