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Finding the Third Proportional to 838,775.25 and 1,795,101.75

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Solution

The third proportional to 838,775.25 and 1,795,101.75 is: 3,841,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,775.25 : 1,795,101.75 = 1,795,101.75 : x
  2. Step 2: Convert to fraction form
    838,775.25/1,795,101.75 = 1,795,101.75/x
  3. Step 3: Cross multiply
    838,775.25x = 1,795,101.75 × 1,795,101.75
  4. Step 4: Simplify right side
    838,775.25x = 3,222,390,292,853.06
  5. Step 5: Solve for x
    x = 3,222,390,292,853.06/838,775.25
  6. Step 6: Final answer
    x = 3,841,780.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.