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Finding the Third Proportional to 2,124,217 and 3,203,954.50

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Solution

The third proportional to 2,124,217 and 3,203,954.50 is: 4,832,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124,217 : 3,203,954.50 = 3,203,954.50 : x
  2. Step 2: Convert to fraction form
    2,124,217/3,203,954.50 = 3,203,954.50/x
  3. Step 3: Cross multiply
    2,124,217x = 3,203,954.50 × 3,203,954.50
  4. Step 4: Simplify right side
    2,124,217x = 10,265,324,438,070.25
  5. Step 5: Solve for x
    x = 10,265,324,438,070.25/2,124,217
  6. Step 6: Final answer
    x = 4,832,521.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.