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Finding the Third Proportional to 773,971 and 1,641,591

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Solution

The third proportional to 773,971 and 1,641,591 is: 3,481,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,971 : 1,641,591 = 1,641,591 : x
  2. Step 2: Convert to fraction form
    773,971/1,641,591 = 1,641,591/x
  3. Step 3: Cross multiply
    773,971x = 1,641,591 × 1,641,591
  4. Step 4: Simplify right side
    773,971x = 2,694,821,011,281
  5. Step 5: Solve for x
    x = 2,694,821,011,281/773,971
  6. Step 6: Final answer
    x = 3,481,811.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.