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Finding the Third Proportional to 429,696 and 927,720

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Solution

The third proportional to 429,696 and 927,720 is: 2,002,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,696 : 927,720 = 927,720 : x
  2. Step 2: Convert to fraction form
    429,696/927,720 = 927,720/x
  3. Step 3: Cross multiply
    429,696x = 927,720 × 927,720
  4. Step 4: Simplify right side
    429,696x = 860,664,398,400
  5. Step 5: Solve for x
    x = 860,664,398,400/429,696
  6. Step 6: Final answer
    x = 2,002,961.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.