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Finding the Third Proportional to 1,027,656 and 2,166,102

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Solution

The third proportional to 1,027,656 and 2,166,102 is: 4,565,728.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,656 : 2,166,102 = 2,166,102 : x
  2. Step 2: Convert to fraction form
    1,027,656/2,166,102 = 2,166,102/x
  3. Step 3: Cross multiply
    1,027,656x = 2,166,102 × 2,166,102
  4. Step 4: Simplify right side
    1,027,656x = 4,691,997,874,404
  5. Step 5: Solve for x
    x = 4,691,997,874,404/1,027,656
  6. Step 6: Final answer
    x = 4,565,728.10

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.