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Finding the Third Proportional to 1,784,940.75 and 3,924,176.25

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Solution

The third proportional to 1,784,940.75 and 3,924,176.25 is: 8,627,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,940.75 : 3,924,176.25 = 3,924,176.25 : x
  2. Step 2: Convert to fraction form
    1,784,940.75/3,924,176.25 = 3,924,176.25/x
  3. Step 3: Cross multiply
    1,784,940.75x = 3,924,176.25 × 3,924,176.25
  4. Step 4: Simplify right side
    1,784,940.75x = 15,399,159,241,064.06
  5. Step 5: Solve for x
    x = 15,399,159,241,064.06/1,784,940.75
  6. Step 6: Final answer
    x = 8,627,266.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.