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Finding the Third Proportional to 3,247,416 and 4,615,740

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Solution

The third proportional to 3,247,416 and 4,615,740 is: 6,560,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247,416 : 4,615,740 = 4,615,740 : x
  2. Step 2: Convert to fraction form
    3,247,416/4,615,740 = 4,615,740/x
  3. Step 3: Cross multiply
    3,247,416x = 4,615,740 × 4,615,740
  4. Step 4: Simplify right side
    3,247,416x = 21,305,055,747,600
  5. Step 5: Solve for x
    x = 21,305,055,747,600/3,247,416
  6. Step 6: Final answer
    x = 6,560,617.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.