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Finding the Third Proportional to 769,350 and 1,680,306

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Solution

The third proportional to 769,350 and 1,680,306 is: 3,669,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,350 : 1,680,306 = 1,680,306 : x
  2. Step 2: Convert to fraction form
    769,350/1,680,306 = 1,680,306/x
  3. Step 3: Cross multiply
    769,350x = 1,680,306 × 1,680,306
  4. Step 4: Simplify right side
    769,350x = 2,823,428,253,636
  5. Step 5: Solve for x
    x = 2,823,428,253,636/769,350
  6. Step 6: Final answer
    x = 3,669,887.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.