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Finding the Third Proportional to 834,400 and 1,772,224

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Solution

The third proportional to 834,400 and 1,772,224 is: 3,764,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,400 : 1,772,224 = 1,772,224 : x
  2. Step 2: Convert to fraction form
    834,400/1,772,224 = 1,772,224/x
  3. Step 3: Cross multiply
    834,400x = 1,772,224 × 1,772,224
  4. Step 4: Simplify right side
    834,400x = 3,140,777,906,176
  5. Step 5: Solve for x
    x = 3,140,777,906,176/834,400
  6. Step 6: Final answer
    x = 3,764,115.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.