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Finding the Third Proportional to 404,865 and 859,546

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Solution

The third proportional to 404,865 and 859,546 is: 1,824,853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,865 : 859,546 = 859,546 : x
  2. Step 2: Convert to fraction form
    404,865/859,546 = 859,546/x
  3. Step 3: Cross multiply
    404,865x = 859,546 × 859,546
  4. Step 4: Simplify right side
    404,865x = 738,819,326,116
  5. Step 5: Solve for x
    x = 738,819,326,116/404,865
  6. Step 6: Final answer
    x = 1,824,853.53

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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.