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Finding the Third Proportional to 428,936.77 and 893,400.89

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Solution

The third proportional to 428,936.77 and 893,400.89 is: 1,860,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,936.77 : 893,400.89 = 893,400.89 : x
  2. Step 2: Convert to fraction form
    428,936.77/893,400.89 = 893,400.89/x
  3. Step 3: Cross multiply
    428,936.77x = 893,400.89 × 893,400.89
  4. Step 4: Simplify right side
    428,936.77x = 798,165,151,369.54
  5. Step 5: Solve for x
    x = 798,165,151,369.54/428,936.77
  6. Step 6: Final answer
    x = 1,860,799.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.