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Finding the Third Proportional to 404,872 and 859,558

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Solution

The third proportional to 404,872 and 859,558 is: 1,824,872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,872 : 859,558 = 859,558 : x
  2. Step 2: Convert to fraction form
    404,872/859,558 = 859,558/x
  3. Step 3: Cross multiply
    404,872x = 859,558 × 859,558
  4. Step 4: Simplify right side
    404,872x = 738,839,955,364
  5. Step 5: Solve for x
    x = 738,839,955,364/404,872
  6. Step 6: Final answer
    x = 1,824,872.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.