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Finding the Third Proportional to 680,568 and 1,044,648

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Solution

The third proportional to 680,568 and 1,044,648 is: 1,603,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,568 : 1,044,648 = 1,044,648 : x
  2. Step 2: Convert to fraction form
    680,568/1,044,648 = 1,044,648/x
  3. Step 3: Cross multiply
    680,568x = 1,044,648 × 1,044,648
  4. Step 4: Simplify right side
    680,568x = 1,091,289,443,904
  5. Step 5: Solve for x
    x = 1,091,289,443,904/680,568
  6. Step 6: Final answer
    x = 1,603,498.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.