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Finding the Third Proportional to 680,767 and 1,466,562

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Solution

The third proportional to 680,767 and 1,466,562 is: 3,159,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,767 : 1,466,562 = 1,466,562 : x
  2. Step 2: Convert to fraction form
    680,767/1,466,562 = 1,466,562/x
  3. Step 3: Cross multiply
    680,767x = 1,466,562 × 1,466,562
  4. Step 4: Simplify right side
    680,767x = 2,150,804,099,844
  5. Step 5: Solve for x
    x = 2,150,804,099,844/680,767
  6. Step 6: Final answer
    x = 3,159,383.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.