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Finding the Third Proportional to 543,858.21 and 1,132,374.78

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Solution

The third proportional to 543,858.21 and 1,132,374.78 is: 2,357,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,858.21 : 1,132,374.78 = 1,132,374.78 : x
  2. Step 2: Convert to fraction form
    543,858.21/1,132,374.78 = 1,132,374.78/x
  3. Step 3: Cross multiply
    543,858.21x = 1,132,374.78 × 1,132,374.78
  4. Step 4: Simplify right side
    543,858.21x = 1,282,272,640,787.70
  5. Step 5: Solve for x
    x = 1,282,272,640,787.70/543,858.21
  6. Step 6: Final answer
    x = 2,357,733.37

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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.