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Finding the Third Proportional to 622,152 and 962,384

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Solution

The third proportional to 622,152 and 962,384 is: 1,488,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,152 : 962,384 = 962,384 : x
  2. Step 2: Convert to fraction form
    622,152/962,384 = 962,384/x
  3. Step 3: Cross multiply
    622,152x = 962,384 × 962,384
  4. Step 4: Simplify right side
    622,152x = 926,182,963,456
  5. Step 5: Solve for x
    x = 926,182,963,456/622,152
  6. Step 6: Final answer
    x = 1,488,676.34

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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.