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Finding the Third Proportional to 741,248 and 1,121,215

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Solution

The third proportional to 741,248 and 1,121,215 is: 1,695,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,248 : 1,121,215 = 1,121,215 : x
  2. Step 2: Convert to fraction form
    741,248/1,121,215 = 1,121,215/x
  3. Step 3: Cross multiply
    741,248x = 1,121,215 × 1,121,215
  4. Step 4: Simplify right side
    741,248x = 1,257,123,076,225
  5. Step 5: Solve for x
    x = 1,257,123,076,225/741,248
  6. Step 6: Final answer
    x = 1,695,954.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.