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Finding the Third Proportional to 923,292 and 1,381,248

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Solution

The third proportional to 923,292 and 1,381,248 is: 2,066,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,292 : 1,381,248 = 1,381,248 : x
  2. Step 2: Convert to fraction form
    923,292/1,381,248 = 1,381,248/x
  3. Step 3: Cross multiply
    923,292x = 1,381,248 × 1,381,248
  4. Step 4: Simplify right side
    923,292x = 1,907,846,037,504
  5. Step 5: Solve for x
    x = 1,907,846,037,504/923,292
  6. Step 6: Final answer
    x = 2,066,351.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.