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Finding the Third Proportional to 1,138,279.50 and 2,437,941.38

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Solution

The third proportional to 1,138,279.50 and 2,437,941.38 is: 5,221,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,279.50 : 2,437,941.38 = 2,437,941.38 : x
  2. Step 2: Convert to fraction form
    1,138,279.50/2,437,941.38 = 2,437,941.38/x
  3. Step 3: Cross multiply
    1,138,279.50x = 2,437,941.38 × 2,437,941.38
  4. Step 4: Simplify right side
    1,138,279.50x = 5,943,558,147,936.89
  5. Step 5: Solve for x
    x = 5,943,558,147,936.89/1,138,279.50
  6. Step 6: Final answer
    x = 5,221,527.88

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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.