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Finding the Third Proportional to 3,149,158.50 and 4,722,796.13

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Solution

The third proportional to 3,149,158.50 and 4,722,796.13 is: 7,082,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149,158.50 : 4,722,796.13 = 4,722,796.13 : x
  2. Step 2: Convert to fraction form
    3,149,158.50/4,722,796.13 = 4,722,796.13/x
  3. Step 3: Cross multiply
    3,149,158.50x = 4,722,796.13 × 4,722,796.13
  4. Step 4: Simplify right side
    3,149,158.50x = 22,304,803,238,315.02
  5. Step 5: Solve for x
    x = 22,304,803,238,315.02/3,149,158.50
  6. Step 6: Final answer
    x = 7,082,782.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.