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Finding the Third Proportional to 4,164,969 and 6,291,831

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Solution

The third proportional to 4,164,969 and 6,291,831 is: 9,504,785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164,969 : 6,291,831 = 6,291,831 : x
  2. Step 2: Convert to fraction form
    4,164,969/6,291,831 = 6,291,831/x
  3. Step 3: Cross multiply
    4,164,969x = 6,291,831 × 6,291,831
  4. Step 4: Simplify right side
    4,164,969x = 39,587,137,332,561
  5. Step 5: Solve for x
    x = 39,587,137,332,561/4,164,969
  6. Step 6: Final answer
    x = 9,504,785.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.