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Finding the Third Proportional to 3,902,000 and 6,005,172

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Solution

The third proportional to 3,902,000 and 6,005,172 is: 9,241,950.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902,000 : 6,005,172 = 6,005,172 : x
  2. Step 2: Convert to fraction form
    3,902,000/6,005,172 = 6,005,172/x
  3. Step 3: Cross multiply
    3,902,000x = 6,005,172 × 6,005,172
  4. Step 4: Simplify right side
    3,902,000x = 36,062,090,749,584
  5. Step 5: Solve for x
    x = 36,062,090,749,584/3,902,000
  6. Step 6: Final answer
    x = 9,241,950.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.