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Finding the Third Proportional to 769,041 and 1,656,412

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Solution

The third proportional to 769,041 and 1,656,412 is: 3,567,691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,041 : 1,656,412 = 1,656,412 : x
  2. Step 2: Convert to fraction form
    769,041/1,656,412 = 1,656,412/x
  3. Step 3: Cross multiply
    769,041x = 1,656,412 × 1,656,412
  4. Step 4: Simplify right side
    769,041x = 2,743,700,713,744
  5. Step 5: Solve for x
    x = 2,743,700,713,744/769,041
  6. Step 6: Final answer
    x = 3,567,691.08

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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.