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Finding the Third Proportional to 1,192,252.50 and 2,582,428.31

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Solution

The third proportional to 1,192,252.50 and 2,582,428.31 is: 5,593,560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192,252.50 : 2,582,428.31 = 2,582,428.31 : x
  2. Step 2: Convert to fraction form
    1,192,252.50/2,582,428.31 = 2,582,428.31/x
  3. Step 3: Cross multiply
    1,192,252.50x = 2,582,428.31 × 2,582,428.31
  4. Step 4: Simplify right side
    1,192,252.50x = 6,668,935,989,201.60
  5. Step 5: Solve for x
    x = 6,668,935,989,201.60/1,192,252.50
  6. Step 6: Final answer
    x = 5,593,560.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.