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Finding the Third Proportional to 769,155.75 and 1,650,066.19

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Solution

The third proportional to 769,155.75 and 1,650,066.19 is: 3,539,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,155.75 : 1,650,066.19 = 1,650,066.19 : x
  2. Step 2: Convert to fraction form
    769,155.75/1,650,066.19 = 1,650,066.19/x
  3. Step 3: Cross multiply
    769,155.75x = 1,650,066.19 × 1,650,066.19
  4. Step 4: Simplify right side
    769,155.75x = 2,722,718,423,130.79
  5. Step 5: Solve for x
    x = 2,722,718,423,130.79/769,155.75
  6. Step 6: Final answer
    x = 3,539,879.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.