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Finding the Third Proportional to 418,754 and 859,684

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Solution

The third proportional to 418,754 and 859,684 is: 1,764,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,754 : 859,684 = 859,684 : x
  2. Step 2: Convert to fraction form
    418,754/859,684 = 859,684/x
  3. Step 3: Cross multiply
    418,754x = 859,684 × 859,684
  4. Step 4: Simplify right side
    418,754x = 739,056,579,856
  5. Step 5: Solve for x
    x = 739,056,579,856/418,754
  6. Step 6: Final answer
    x = 1,764,894.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.