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Finding the Third Proportional to 886,608 and 1,188,216

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Solution

The third proportional to 886,608 and 1,188,216 is: 1,592,425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,608 : 1,188,216 = 1,188,216 : x
  2. Step 2: Convert to fraction form
    886,608/1,188,216 = 1,188,216/x
  3. Step 3: Cross multiply
    886,608x = 1,188,216 × 1,188,216
  4. Step 4: Simplify right side
    886,608x = 1,411,857,262,656
  5. Step 5: Solve for x
    x = 1,411,857,262,656/886,608
  6. Step 6: Final answer
    x = 1,592,425.58

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.