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Finding the Third Proportional to 816,975 and 1,259,915

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Solution

The third proportional to 816,975 and 1,259,915 is: 1,943,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,975 : 1,259,915 = 1,259,915 : x
  2. Step 2: Convert to fraction form
    816,975/1,259,915 = 1,259,915/x
  3. Step 3: Cross multiply
    816,975x = 1,259,915 × 1,259,915
  4. Step 4: Simplify right side
    816,975x = 1,587,385,807,225
  5. Step 5: Solve for x
    x = 1,587,385,807,225/816,975
  6. Step 6: Final answer
    x = 1,943,004.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.