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Finding the Third Proportional to 3,151,782 and 4,615,884

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Solution

The third proportional to 3,151,782 and 4,615,884 is: 6,760,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151,782 : 4,615,884 = 4,615,884 : x
  2. Step 2: Convert to fraction form
    3,151,782/4,615,884 = 4,615,884/x
  3. Step 3: Cross multiply
    3,151,782x = 4,615,884 × 4,615,884
  4. Step 4: Simplify right side
    3,151,782x = 21,306,385,101,456
  5. Step 5: Solve for x
    x = 21,306,385,101,456/3,151,782
  6. Step 6: Final answer
    x = 6,760,107.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.