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Finding the Third Proportional to 923,182 and 1,919,748

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Solution

The third proportional to 923,182 and 1,919,748 is: 3,992,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,182 : 1,919,748 = 1,919,748 : x
  2. Step 2: Convert to fraction form
    923,182/1,919,748 = 1,919,748/x
  3. Step 3: Cross multiply
    923,182x = 1,919,748 × 1,919,748
  4. Step 4: Simplify right side
    923,182x = 3,685,432,383,504
  5. Step 5: Solve for x
    x = 3,685,432,383,504/923,182
  6. Step 6: Final answer
    x = 3,992,097.32

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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.