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Finding the Third Proportional to 1,956,059 and 4,201,349

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Solution

The third proportional to 1,956,059 and 4,201,349 is: 9,023,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956,059 : 4,201,349 = 4,201,349 : x
  2. Step 2: Convert to fraction form
    1,956,059/4,201,349 = 4,201,349/x
  3. Step 3: Cross multiply
    1,956,059x = 4,201,349 × 4,201,349
  4. Step 4: Simplify right side
    1,956,059x = 17,651,333,419,801
  5. Step 5: Solve for x
    x = 17,651,333,419,801/1,956,059
  6. Step 6: Final answer
    x = 9,023,926.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.