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Finding the Third Proportional to 622,784 and 963,232

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Solution

The third proportional to 622,784 and 963,232 is: 1,489,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,784 : 963,232 = 963,232 : x
  2. Step 2: Convert to fraction form
    622,784/963,232 = 963,232/x
  3. Step 3: Cross multiply
    622,784x = 963,232 × 963,232
  4. Step 4: Simplify right side
    622,784x = 927,815,885,824
  5. Step 5: Solve for x
    x = 927,815,885,824/622,784
  6. Step 6: Final answer
    x = 1,489,787.61

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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.