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Finding the Third Proportional to 754,745 and 1,141,856

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Solution

The third proportional to 754,745 and 1,141,856 is: 1,727,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,745 : 1,141,856 = 1,141,856 : x
  2. Step 2: Convert to fraction form
    754,745/1,141,856 = 1,141,856/x
  3. Step 3: Cross multiply
    754,745x = 1,141,856 × 1,141,856
  4. Step 4: Simplify right side
    754,745x = 1,303,835,124,736
  5. Step 5: Solve for x
    x = 1,303,835,124,736/754,745
  6. Step 6: Final answer
    x = 1,727,517.41

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