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Finding the Third Proportional to 923,288 and 1,381,243

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Solution

The third proportional to 923,288 and 1,381,243 is: 2,066,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,288 : 1,381,243 = 1,381,243 : x
  2. Step 2: Convert to fraction form
    923,288/1,381,243 = 1,381,243/x
  3. Step 3: Cross multiply
    923,288x = 1,381,243 × 1,381,243
  4. Step 4: Simplify right side
    923,288x = 1,907,832,225,049
  5. Step 5: Solve for x
    x = 1,907,832,225,049/923,288
  6. Step 6: Final answer
    x = 2,066,345.74

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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.