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Finding the Third Proportional to 2,474,964 and 3,938,193

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Solution

The third proportional to 2,474,964 and 3,938,193 is: 6,266,500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474,964 : 3,938,193 = 3,938,193 : x
  2. Step 2: Convert to fraction form
    2,474,964/3,938,193 = 3,938,193/x
  3. Step 3: Cross multiply
    2,474,964x = 3,938,193 × 3,938,193
  4. Step 4: Simplify right side
    2,474,964x = 15,509,364,105,249
  5. Step 5: Solve for x
    x = 15,509,364,105,249/2,474,964
  6. Step 6: Final answer
    x = 6,266,500.89

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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.