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Finding the Third Proportional to 816,986 and 1,765,156

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Solution

The third proportional to 816,986 and 1,765,156 is: 3,813,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,986 : 1,765,156 = 1,765,156 : x
  2. Step 2: Convert to fraction form
    816,986/1,765,156 = 1,765,156/x
  3. Step 3: Cross multiply
    816,986x = 1,765,156 × 1,765,156
  4. Step 4: Simplify right side
    816,986x = 3,115,775,704,336
  5. Step 5: Solve for x
    x = 3,115,775,704,336/816,986
  6. Step 6: Final answer
    x = 3,813,744.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.