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Finding the Third Proportional to 925,647.75 and 1,398,340.13

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Solution

The third proportional to 925,647.75 and 1,398,340.13 is: 2,112,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,647.75 : 1,398,340.13 = 1,398,340.13 : x
  2. Step 2: Convert to fraction form
    925,647.75/1,398,340.13 = 1,398,340.13/x
  3. Step 3: Cross multiply
    925,647.75x = 1,398,340.13 × 1,398,340.13
  4. Step 4: Simplify right side
    925,647.75x = 1,955,355,105,185.02
  5. Step 5: Solve for x
    x = 1,955,355,105,185.02/925,647.75
  6. Step 6: Final answer
    x = 2,112,418.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.