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Finding the Third Proportional to 872,398 and 1,882,280

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Solution

The third proportional to 872,398 and 1,882,280 is: 4,061,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,398 : 1,882,280 = 1,882,280 : x
  2. Step 2: Convert to fraction form
    872,398/1,882,280 = 1,882,280/x
  3. Step 3: Cross multiply
    872,398x = 1,882,280 × 1,882,280
  4. Step 4: Simplify right side
    872,398x = 3,542,977,998,400
  5. Step 5: Solve for x
    x = 3,542,977,998,400/872,398
  6. Step 6: Final answer
    x = 4,061,194.54

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