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Finding the Third Proportional to 854,674.50 and 1,823,743.50

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Solution

The third proportional to 854,674.50 and 1,823,743.50 is: 3,891,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,674.50 : 1,823,743.50 = 1,823,743.50 : x
  2. Step 2: Convert to fraction form
    854,674.50/1,823,743.50 = 1,823,743.50/x
  3. Step 3: Cross multiply
    854,674.50x = 1,823,743.50 × 1,823,743.50
  4. Step 4: Simplify right side
    854,674.50x = 3,326,040,353,792.25
  5. Step 5: Solve for x
    x = 3,326,040,353,792.25/854,674.50
  6. Step 6: Final answer
    x = 3,891,587.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.