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Finding the Third Proportional to 774,840.13 and 1,809,383.38

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Solution

The third proportional to 774,840.13 and 1,809,383.38 is: 4,225,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,840.13 : 1,809,383.38 = 1,809,383.38 : x
  2. Step 2: Convert to fraction form
    774,840.13/1,809,383.38 = 1,809,383.38/x
  3. Step 3: Cross multiply
    774,840.13x = 1,809,383.38 × 1,809,383.38
  4. Step 4: Simplify right side
    774,840.13x = 3,273,868,197,726.39
  5. Step 5: Solve for x
    x = 3,273,868,197,726.39/774,840.13
  6. Step 6: Final answer
    x = 4,225,217.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.