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Finding the Third Proportional to 3,883,102 and 6,078,169

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Solution

The third proportional to 3,883,102 and 6,078,169 is: 9,514,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883,102 : 6,078,169 = 6,078,169 : x
  2. Step 2: Convert to fraction form
    3,883,102/6,078,169 = 6,078,169/x
  3. Step 3: Cross multiply
    3,883,102x = 6,078,169 × 6,078,169
  4. Step 4: Simplify right side
    3,883,102x = 36,944,138,392,561
  5. Step 5: Solve for x
    x = 36,944,138,392,561/3,883,102
  6. Step 6: Final answer
    x = 9,514,078.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.