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Finding the Third Proportional to 2,064,172.50 and 3,188,295

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Solution

The third proportional to 2,064,172.50 and 3,188,295 is: 4,924,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064,172.50 : 3,188,295 = 3,188,295 : x
  2. Step 2: Convert to fraction form
    2,064,172.50/3,188,295 = 3,188,295/x
  3. Step 3: Cross multiply
    2,064,172.50x = 3,188,295 × 3,188,295
  4. Step 4: Simplify right side
    2,064,172.50x = 10,165,225,007,025
  5. Step 5: Solve for x
    x = 10,165,225,007,025/2,064,172.50
  6. Step 6: Final answer
    x = 4,924,600.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.