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Finding the Third Proportional to 1,142,772 and 2,380,126.50

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Solution

The third proportional to 1,142,772 and 2,380,126.50 is: 4,957,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,772 : 2,380,126.50 = 2,380,126.50 : x
  2. Step 2: Convert to fraction form
    1,142,772/2,380,126.50 = 2,380,126.50/x
  3. Step 3: Cross multiply
    1,142,772x = 2,380,126.50 × 2,380,126.50
  4. Step 4: Simplify right side
    1,142,772x = 5,665,002,156,002.25
  5. Step 5: Solve for x
    x = 5,665,002,156,002.25/1,142,772
  6. Step 6: Final answer
    x = 4,957,246.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.