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Finding the Third Proportional to 641,794.50 and 1,009,388.25

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Solution

The third proportional to 641,794.50 and 1,009,388.25 is: 1,587,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,794.50 : 1,009,388.25 = 1,009,388.25 : x
  2. Step 2: Convert to fraction form
    641,794.50/1,009,388.25 = 1,009,388.25/x
  3. Step 3: Cross multiply
    641,794.50x = 1,009,388.25 × 1,009,388.25
  4. Step 4: Simplify right side
    641,794.50x = 1,018,864,639,238.06
  5. Step 5: Solve for x
    x = 1,018,864,639,238.06/641,794.50
  6. Step 6: Final answer
    x = 1,587,524.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.