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Finding the Third Proportional to 678,264 and 1,049,753

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Solution

The third proportional to 678,264 and 1,049,753 is: 1,624,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,264 : 1,049,753 = 1,049,753 : x
  2. Step 2: Convert to fraction form
    678,264/1,049,753 = 1,049,753/x
  3. Step 3: Cross multiply
    678,264x = 1,049,753 × 1,049,753
  4. Step 4: Simplify right side
    678,264x = 1,101,981,361,009
  5. Step 5: Solve for x
    x = 1,101,981,361,009/678,264
  6. Step 6: Final answer
    x = 1,624,708.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.