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Finding the Third Proportional to 2,464,224 and 3,611,214

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Solution

The third proportional to 2,464,224 and 3,611,214 is: 5,292,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464,224 : 3,611,214 = 3,611,214 : x
  2. Step 2: Convert to fraction form
    2,464,224/3,611,214 = 3,611,214/x
  3. Step 3: Cross multiply
    2,464,224x = 3,611,214 × 3,611,214
  4. Step 4: Simplify right side
    2,464,224x = 13,040,866,553,796
  5. Step 5: Solve for x
    x = 13,040,866,553,796/2,464,224
  6. Step 6: Final answer
    x = 5,292,078.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.