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Finding the Third Proportional to 680,208 and 1,061,677

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Solution

The third proportional to 680,208 and 1,061,677 is: 1,657,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,208 : 1,061,677 = 1,061,677 : x
  2. Step 2: Convert to fraction form
    680,208/1,061,677 = 1,061,677/x
  3. Step 3: Cross multiply
    680,208x = 1,061,677 × 1,061,677
  4. Step 4: Simplify right side
    680,208x = 1,127,158,052,329
  5. Step 5: Solve for x
    x = 1,127,158,052,329/680,208
  6. Step 6: Final answer
    x = 1,657,078.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.