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Finding the Third Proportional to 682,992 and 1,486,468.13

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Solution

The third proportional to 682,992 and 1,486,468.13 is: 3,235,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,992 : 1,486,468.13 = 1,486,468.13 : x
  2. Step 2: Convert to fraction form
    682,992/1,486,468.13 = 1,486,468.13/x
  3. Step 3: Cross multiply
    682,992x = 1,486,468.13 × 1,486,468.13
  4. Step 4: Simplify right side
    682,992x = 2,209,587,486,641.02
  5. Step 5: Solve for x
    x = 2,209,587,486,641.02/682,992
  6. Step 6: Final answer
    x = 3,235,158.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.