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Finding the Third Proportional to 1,971,238.78 and 4,236,970.78

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Solution

The third proportional to 1,971,238.78 and 4,236,970.78 is: 9,106,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,238.78 : 4,236,970.78 = 4,236,970.78 : x
  2. Step 2: Convert to fraction form
    1,971,238.78/4,236,970.78 = 4,236,970.78/x
  3. Step 3: Cross multiply
    1,971,238.78x = 4,236,970.78 × 4,236,970.78
  4. Step 4: Simplify right side
    1,971,238.78x = 17,951,921,401,166.23
  5. Step 5: Solve for x
    x = 17,951,921,401,166.23/1,971,238.78
  6. Step 6: Final answer
    x = 9,106,923.81

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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.