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Finding the Third Proportional to 891,242.50 and 1,924,519.50

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Solution

The third proportional to 891,242.50 and 1,924,519.50 is: 4,155,743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,242.50 : 1,924,519.50 = 1,924,519.50 : x
  2. Step 2: Convert to fraction form
    891,242.50/1,924,519.50 = 1,924,519.50/x
  3. Step 3: Cross multiply
    891,242.50x = 1,924,519.50 × 1,924,519.50
  4. Step 4: Simplify right side
    891,242.50x = 3,703,775,305,880.25
  5. Step 5: Solve for x
    x = 3,703,775,305,880.25/891,242.50
  6. Step 6: Final answer
    x = 4,155,743.59

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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.