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Finding the Third Proportional to 919,405.69 and 1,944,015.19

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Solution

The third proportional to 919,405.69 and 1,944,015.19 is: 4,110,476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,405.69 : 1,944,015.19 = 1,944,015.19 : x
  2. Step 2: Convert to fraction form
    919,405.69/1,944,015.19 = 1,944,015.19/x
  3. Step 3: Cross multiply
    919,405.69x = 1,944,015.19 × 1,944,015.19
  4. Step 4: Simplify right side
    919,405.69x = 3,779,195,049,230.66
  5. Step 5: Solve for x
    x = 3,779,195,049,230.66/919,405.69
  6. Step 6: Final answer
    x = 4,110,476.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.