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Finding the Third Proportional to 2,474,976 and 3,938,212

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Solution

The third proportional to 2,474,976 and 3,938,212 is: 6,266,530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474,976 : 3,938,212 = 3,938,212 : x
  2. Step 2: Convert to fraction form
    2,474,976/3,938,212 = 3,938,212/x
  3. Step 3: Cross multiply
    2,474,976x = 3,938,212 × 3,938,212
  4. Step 4: Simplify right side
    2,474,976x = 15,509,513,756,944
  5. Step 5: Solve for x
    x = 15,509,513,756,944/2,474,976
  6. Step 6: Final answer
    x = 6,266,530.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.