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Finding the Third Proportional to 893,826 and 2,042,091

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Solution

The third proportional to 893,826 and 2,042,091 is: 4,665,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,826 : 2,042,091 = 2,042,091 : x
  2. Step 2: Convert to fraction form
    893,826/2,042,091 = 2,042,091/x
  3. Step 3: Cross multiply
    893,826x = 2,042,091 × 2,042,091
  4. Step 4: Simplify right side
    893,826x = 4,170,135,652,281
  5. Step 5: Solve for x
    x = 4,170,135,652,281/893,826
  6. Step 6: Final answer
    x = 4,665,489.31

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.