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Finding the Third Proportional to 653,489.44 and 1,415,542.50

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Solution

The third proportional to 653,489.44 and 1,415,542.50 is: 3,066,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,489.44 : 1,415,542.50 = 1,415,542.50 : x
  2. Step 2: Convert to fraction form
    653,489.44/1,415,542.50 = 1,415,542.50/x
  3. Step 3: Cross multiply
    653,489.44x = 1,415,542.50 × 1,415,542.50
  4. Step 4: Simplify right side
    653,489.44x = 2,003,760,569,306.25
  5. Step 5: Solve for x
    x = 2,003,760,569,306.25/653,489.44
  6. Step 6: Final answer
    x = 3,066,247.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.