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Finding the Third Proportional to 622,890 and 962,355

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Solution

The third proportional to 622,890 and 962,355 is: 1,486,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,890 : 962,355 = 962,355 : x
  2. Step 2: Convert to fraction form
    622,890/962,355 = 962,355/x
  3. Step 3: Cross multiply
    622,890x = 962,355 × 962,355
  4. Step 4: Simplify right side
    622,890x = 926,127,146,025
  5. Step 5: Solve for x
    x = 926,127,146,025/622,890
  6. Step 6: Final answer
    x = 1,486,822.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.