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Finding the Third Proportional to 2,431,944 and 3,743,532

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Solution

The third proportional to 2,431,944 and 3,743,532 is: 5,762,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,944 : 3,743,532 = 3,743,532 : x
  2. Step 2: Convert to fraction form
    2,431,944/3,743,532 = 3,743,532/x
  3. Step 3: Cross multiply
    2,431,944x = 3,743,532 × 3,743,532
  4. Step 4: Simplify right side
    2,431,944x = 14,014,031,835,024
  5. Step 5: Solve for x
    x = 14,014,031,835,024/2,431,944
  6. Step 6: Final answer
    x = 5,762,481.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.