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Finding the Third Proportional to 3,707,744 and 4,966,031

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Solution

The third proportional to 3,707,744 and 4,966,031 is: 6,651,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707,744 : 4,966,031 = 4,966,031 : x
  2. Step 2: Convert to fraction form
    3,707,744/4,966,031 = 4,966,031/x
  3. Step 3: Cross multiply
    3,707,744x = 4,966,031 × 4,966,031
  4. Step 4: Simplify right side
    3,707,744x = 24,661,463,892,961
  5. Step 5: Solve for x
    x = 24,661,463,892,961/3,707,744
  6. Step 6: Final answer
    x = 6,651,339.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.