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Finding the Third Proportional to 923,162 and 1,919,708

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Solution

The third proportional to 923,162 and 1,919,708 is: 3,992,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,162 : 1,919,708 = 1,919,708 : x
  2. Step 2: Convert to fraction form
    923,162/1,919,708 = 1,919,708/x
  3. Step 3: Cross multiply
    923,162x = 1,919,708 × 1,919,708
  4. Step 4: Simplify right side
    923,162x = 3,685,278,805,264
  5. Step 5: Solve for x
    x = 3,685,278,805,264/923,162
  6. Step 6: Final answer
    x = 3,992,017.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.