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Finding the Third Proportional to 923,294 and 1,381,251

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Solution

The third proportional to 923,294 and 1,381,251 is: 2,066,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,294 : 1,381,251 = 1,381,251 : x
  2. Step 2: Convert to fraction form
    923,294/1,381,251 = 1,381,251/x
  3. Step 3: Cross multiply
    923,294x = 1,381,251 × 1,381,251
  4. Step 4: Simplify right side
    923,294x = 1,907,854,325,001
  5. Step 5: Solve for x
    x = 1,907,854,325,001/923,294
  6. Step 6: Final answer
    x = 2,066,356.25

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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.