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Finding the Third Proportional to 1,138,272.75 and 2,437,927.31

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Solution

The third proportional to 1,138,272.75 and 2,437,927.31 is: 5,221,498.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,272.75 : 2,437,927.31 = 2,437,927.31 : x
  2. Step 2: Convert to fraction form
    1,138,272.75/2,437,927.31 = 2,437,927.31/x
  3. Step 3: Cross multiply
    1,138,272.75x = 2,437,927.31 × 2,437,927.31
  4. Step 4: Simplify right side
    1,138,272.75x = 5,943,489,581,033.47
  5. Step 5: Solve for x
    x = 5,943,489,581,033.47/1,138,272.75
  6. Step 6: Final answer
    x = 5,221,498.61

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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.