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Finding the Third Proportional to 667,287 and 1,467,412.50

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Solution

The third proportional to 667,287 and 1,467,412.50 is: 3,226,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,287 : 1,467,412.50 = 1,467,412.50 : x
  2. Step 2: Convert to fraction form
    667,287/1,467,412.50 = 1,467,412.50/x
  3. Step 3: Cross multiply
    667,287x = 1,467,412.50 × 1,467,412.50
  4. Step 4: Simplify right side
    667,287x = 2,153,299,445,156.25
  5. Step 5: Solve for x
    x = 2,153,299,445,156.25/667,287
  6. Step 6: Final answer
    x = 3,226,946.49

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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.