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Finding the Third Proportional to 769,473 and 1,669,356

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Solution

The third proportional to 769,473 and 1,669,356 is: 3,621,633.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,473 : 1,669,356 = 1,669,356 : x
  2. Step 2: Convert to fraction form
    769,473/1,669,356 = 1,669,356/x
  3. Step 3: Cross multiply
    769,473x = 1,669,356 × 1,669,356
  4. Step 4: Simplify right side
    769,473x = 2,786,749,454,736
  5. Step 5: Solve for x
    x = 2,786,749,454,736/769,473
  6. Step 6: Final answer
    x = 3,621,633.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.