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Finding the Third Proportional to 1,930,212.75 and 4,159,591.13

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Solution

The third proportional to 1,930,212.75 and 4,159,591.13 is: 8,963,881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930,212.75 : 4,159,591.13 = 4,159,591.13 : x
  2. Step 2: Convert to fraction form
    1,930,212.75/4,159,591.13 = 4,159,591.13/x
  3. Step 3: Cross multiply
    1,930,212.75x = 4,159,591.13 × 4,159,591.13
  4. Step 4: Simplify right side
    1,930,212.75x = 17,302,198,327,178.77
  5. Step 5: Solve for x
    x = 17,302,198,327,178.77/1,930,212.75
  6. Step 6: Final answer
    x = 8,963,881.48

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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.