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Finding the Third Proportional to 1,542,565.50 and 3,160,299

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Solution

The third proportional to 1,542,565.50 and 3,160,299 is: 6,474,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,565.50 : 3,160,299 = 3,160,299 : x
  2. Step 2: Convert to fraction form
    1,542,565.50/3,160,299 = 3,160,299/x
  3. Step 3: Cross multiply
    1,542,565.50x = 3,160,299 × 3,160,299
  4. Step 4: Simplify right side
    1,542,565.50x = 9,987,489,769,401
  5. Step 5: Solve for x
    x = 9,987,489,769,401/1,542,565.50
  6. Step 6: Final answer
    x = 6,474,596.88

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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.