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Finding the Third Proportional to 826,479.75 and 1,252,196.25

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Solution

The third proportional to 826,479.75 and 1,252,196.25 is: 1,897,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,479.75 : 1,252,196.25 = 1,252,196.25 : x
  2. Step 2: Convert to fraction form
    826,479.75/1,252,196.25 = 1,252,196.25/x
  3. Step 3: Cross multiply
    826,479.75x = 1,252,196.25 × 1,252,196.25
  4. Step 4: Simplify right side
    826,479.75x = 1,567,995,448,514.06
  5. Step 5: Solve for x
    x = 1,567,995,448,514.06/826,479.75
  6. Step 6: Final answer
    x = 1,897,197.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.