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Finding the Third Proportional to 941,769 and 2,059,591

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Solution

The third proportional to 941,769 and 2,059,591 is: 4,504,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,769 : 2,059,591 = 2,059,591 : x
  2. Step 2: Convert to fraction form
    941,769/2,059,591 = 2,059,591/x
  3. Step 3: Cross multiply
    941,769x = 2,059,591 × 2,059,591
  4. Step 4: Simplify right side
    941,769x = 4,241,915,087,281
  5. Step 5: Solve for x
    x = 4,241,915,087,281/941,769
  6. Step 6: Final answer
    x = 4,504,199.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.