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Finding the Third Proportional to 725,571 and 1,144,017

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Solution

The third proportional to 725,571 and 1,144,017 is: 1,803,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,571 : 1,144,017 = 1,144,017 : x
  2. Step 2: Convert to fraction form
    725,571/1,144,017 = 1,144,017/x
  3. Step 3: Cross multiply
    725,571x = 1,144,017 × 1,144,017
  4. Step 4: Simplify right side
    725,571x = 1,308,774,896,289
  5. Step 5: Solve for x
    x = 1,308,774,896,289/725,571
  6. Step 6: Final answer
    x = 1,803,786.12

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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.