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Finding the Third Proportional to 878,224 and 1,889,600

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Solution

The third proportional to 878,224 and 1,889,600 is: 4,065,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,224 : 1,889,600 = 1,889,600 : x
  2. Step 2: Convert to fraction form
    878,224/1,889,600 = 1,889,600/x
  3. Step 3: Cross multiply
    878,224x = 1,889,600 × 1,889,600
  4. Step 4: Simplify right side
    878,224x = 3,570,588,160,000
  5. Step 5: Solve for x
    x = 3,570,588,160,000/878,224
  6. Step 6: Final answer
    x = 4,065,691.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.