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Finding the Third Proportional to 3,739,098 and 6,105,006

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Solution

The third proportional to 3,739,098 and 6,105,006 is: 9,967,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739,098 : 6,105,006 = 6,105,006 : x
  2. Step 2: Convert to fraction form
    3,739,098/6,105,006 = 6,105,006/x
  3. Step 3: Cross multiply
    3,739,098x = 6,105,006 × 6,105,006
  4. Step 4: Simplify right side
    3,739,098x = 37,271,098,260,036
  5. Step 5: Solve for x
    x = 37,271,098,260,036/3,739,098
  6. Step 6: Final answer
    x = 9,967,938.33

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.