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Finding the Third Proportional to 646,062 and 962,781

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Solution

The third proportional to 646,062 and 962,781 is: 1,434,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,062 : 962,781 = 962,781 : x
  2. Step 2: Convert to fraction form
    646,062/962,781 = 962,781/x
  3. Step 3: Cross multiply
    646,062x = 962,781 × 962,781
  4. Step 4: Simplify right side
    646,062x = 926,947,253,961
  5. Step 5: Solve for x
    x = 926,947,253,961/646,062
  6. Step 6: Final answer
    x = 1,434,765.17

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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.