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Finding the Third Proportional to 795,307 and 1,204,544

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Solution

The third proportional to 795,307 and 1,204,544 is: 1,824,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,307 : 1,204,544 = 1,204,544 : x
  2. Step 2: Convert to fraction form
    795,307/1,204,544 = 1,204,544/x
  3. Step 3: Cross multiply
    795,307x = 1,204,544 × 1,204,544
  4. Step 4: Simplify right side
    795,307x = 1,450,926,247,936
  5. Step 5: Solve for x
    x = 1,450,926,247,936/795,307
  6. Step 6: Final answer
    x = 1,824,359.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.