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Finding the Third Proportional to 680,856 and 1,077,604

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Solution

The third proportional to 680,856 and 1,077,604 is: 1,705,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,856 : 1,077,604 = 1,077,604 : x
  2. Step 2: Convert to fraction form
    680,856/1,077,604 = 1,077,604/x
  3. Step 3: Cross multiply
    680,856x = 1,077,604 × 1,077,604
  4. Step 4: Simplify right side
    680,856x = 1,161,230,380,816
  5. Step 5: Solve for x
    x = 1,161,230,380,816/680,856
  6. Step 6: Final answer
    x = 1,705,544.76

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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.