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Finding the Third Proportional to 622,134 and 962,364

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Solution

The third proportional to 622,134 and 962,364 is: 1,488,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,134 : 962,364 = 962,364 : x
  2. Step 2: Convert to fraction form
    622,134/962,364 = 962,364/x
  3. Step 3: Cross multiply
    622,134x = 962,364 × 962,364
  4. Step 4: Simplify right side
    622,134x = 926,144,468,496
  5. Step 5: Solve for x
    x = 926,144,468,496/622,134
  6. Step 6: Final answer
    x = 1,488,657.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.