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Finding the Third Proportional to 774,881.44 and 1,641,958.59

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Solution

The third proportional to 774,881.44 and 1,641,958.59 is: 3,479,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,881.44 : 1,641,958.59 = 1,641,958.59 : x
  2. Step 2: Convert to fraction form
    774,881.44/1,641,958.59 = 1,641,958.59/x
  3. Step 3: Cross multiply
    774,881.44x = 1,641,958.59 × 1,641,958.59
  4. Step 4: Simplify right side
    774,881.44x = 2,696,028,023,589.48
  5. Step 5: Solve for x
    x = 2,696,028,023,589.48/774,881.44
  6. Step 6: Final answer
    x = 3,479,278.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.