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Finding the Third Proportional to 756,781 and 1,616,378

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Solution

The third proportional to 756,781 and 1,616,378 is: 3,452,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,781 : 1,616,378 = 1,616,378 : x
  2. Step 2: Convert to fraction form
    756,781/1,616,378 = 1,616,378/x
  3. Step 3: Cross multiply
    756,781x = 1,616,378 × 1,616,378
  4. Step 4: Simplify right side
    756,781x = 2,612,677,838,884
  5. Step 5: Solve for x
    x = 2,612,677,838,884/756,781
  6. Step 6: Final answer
    x = 3,452,356.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.