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Finding the Third Proportional to 2,654,847 and 4,031,203.50

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Solution

The third proportional to 2,654,847 and 4,031,203.50 is: 6,121,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654,847 : 4,031,203.50 = 4,031,203.50 : x
  2. Step 2: Convert to fraction form
    2,654,847/4,031,203.50 = 4,031,203.50/x
  3. Step 3: Cross multiply
    2,654,847x = 4,031,203.50 × 4,031,203.50
  4. Step 4: Simplify right side
    2,654,847x = 16,250,601,658,412.25
  5. Step 5: Solve for x
    x = 16,250,601,658,412.25/2,654,847
  6. Step 6: Final answer
    x = 6,121,106.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.