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Finding the Third Proportional to 890,432 and 2,099,824

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Solution

The third proportional to 890,432 and 2,099,824 is: 4,951,822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,432 : 2,099,824 = 2,099,824 : x
  2. Step 2: Convert to fraction form
    890,432/2,099,824 = 2,099,824/x
  3. Step 3: Cross multiply
    890,432x = 2,099,824 × 2,099,824
  4. Step 4: Simplify right side
    890,432x = 4,409,260,830,976
  5. Step 5: Solve for x
    x = 4,409,260,830,976/890,432
  6. Step 6: Final answer
    x = 4,951,822.07

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.