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Finding the Third Proportional to 891,212.25 and 1,924,467.75

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Solution

The third proportional to 891,212.25 and 1,924,467.75 is: 4,155,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,212.25 : 1,924,467.75 = 1,924,467.75 : x
  2. Step 2: Convert to fraction form
    891,212.25/1,924,467.75 = 1,924,467.75/x
  3. Step 3: Cross multiply
    891,212.25x = 1,924,467.75 × 1,924,467.75
  4. Step 4: Simplify right side
    891,212.25x = 3,703,576,120,790.06
  5. Step 5: Solve for x
    x = 3,703,576,120,790.06/891,212.25
  6. Step 6: Final answer
    x = 4,155,661.15

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Why These Related Problems?

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