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Finding the Third Proportional to 680,216 and 1,016,771

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Solution

The third proportional to 680,216 and 1,016,771 is: 1,519,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,216 : 1,016,771 = 1,016,771 : x
  2. Step 2: Convert to fraction form
    680,216/1,016,771 = 1,016,771/x
  3. Step 3: Cross multiply
    680,216x = 1,016,771 × 1,016,771
  4. Step 4: Simplify right side
    680,216x = 1,033,823,266,441
  5. Step 5: Solve for x
    x = 1,033,823,266,441/680,216
  6. Step 6: Final answer
    x = 1,519,845.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.