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Finding the Third Proportional to 2,674,154.25 and 4,023,943.31

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Solution

The third proportional to 2,674,154.25 and 4,023,943.31 is: 6,055,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674,154.25 : 4,023,943.31 = 4,023,943.31 : x
  2. Step 2: Convert to fraction form
    2,674,154.25/4,023,943.31 = 4,023,943.31/x
  3. Step 3: Cross multiply
    2,674,154.25x = 4,023,943.31 × 4,023,943.31
  4. Step 4: Simplify right side
    2,674,154.25x = 16,192,119,782,213.47
  5. Step 5: Solve for x
    x = 16,192,119,782,213.47/2,674,154.25
  6. Step 6: Final answer
    x = 6,055,043.30

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