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Finding the Third Proportional to 1,644,750 and 2,467,124

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Solution

The third proportional to 1,644,750 and 2,467,124 is: 3,700,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,750 : 2,467,124 = 2,467,124 : x
  2. Step 2: Convert to fraction form
    1,644,750/2,467,124 = 2,467,124/x
  3. Step 3: Cross multiply
    1,644,750x = 2,467,124 × 2,467,124
  4. Step 4: Simplify right side
    1,644,750x = 6,086,700,831,376
  5. Step 5: Solve for x
    x = 6,086,700,831,376/1,644,750
  6. Step 6: Final answer
    x = 3,700,684.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.