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Finding the Third Proportional to 725,706 and 1,144,215

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Solution

The third proportional to 725,706 and 1,144,215 is: 1,804,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,706 : 1,144,215 = 1,144,215 : x
  2. Step 2: Convert to fraction form
    725,706/1,144,215 = 1,144,215/x
  3. Step 3: Cross multiply
    725,706x = 1,144,215 × 1,144,215
  4. Step 4: Simplify right side
    725,706x = 1,309,227,966,225
  5. Step 5: Solve for x
    x = 1,309,227,966,225/725,706
  6. Step 6: Final answer
    x = 1,804,074.88

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.