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Finding the Third Proportional to 1,841,234 and 4,001,149

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Solution

The third proportional to 1,841,234 and 4,001,149 is: 8,694,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841,234 : 4,001,149 = 4,001,149 : x
  2. Step 2: Convert to fraction form
    1,841,234/4,001,149 = 4,001,149/x
  3. Step 3: Cross multiply
    1,841,234x = 4,001,149 × 4,001,149
  4. Step 4: Simplify right side
    1,841,234x = 16,009,193,320,201
  5. Step 5: Solve for x
    x = 16,009,193,320,201/1,841,234
  6. Step 6: Final answer
    x = 8,694,817.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.