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Finding the Third Proportional to 725,780 and 1,454,476

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Solution

The third proportional to 725,780 and 1,454,476 is: 2,914,795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,780 : 1,454,476 = 1,454,476 : x
  2. Step 2: Convert to fraction form
    725,780/1,454,476 = 1,454,476/x
  3. Step 3: Cross multiply
    725,780x = 1,454,476 × 1,454,476
  4. Step 4: Simplify right side
    725,780x = 2,115,500,434,576
  5. Step 5: Solve for x
    x = 2,115,500,434,576/725,780
  6. Step 6: Final answer
    x = 2,914,795.72

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.