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Finding the Third Proportional to 646,068 and 962,799

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Solution

The third proportional to 646,068 and 962,799 is: 1,434,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,068 : 962,799 = 962,799 : x
  2. Step 2: Convert to fraction form
    646,068/962,799 = 962,799/x
  3. Step 3: Cross multiply
    646,068x = 962,799 × 962,799
  4. Step 4: Simplify right side
    646,068x = 926,981,914,401
  5. Step 5: Solve for x
    x = 926,981,914,401/646,068
  6. Step 6: Final answer
    x = 1,434,805.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.