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Finding the Third Proportional to 1,410,687 and 2,115,999

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Solution

The third proportional to 1,410,687 and 2,115,999 is: 3,173,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,687 : 2,115,999 = 2,115,999 : x
  2. Step 2: Convert to fraction form
    1,410,687/2,115,999 = 2,115,999/x
  3. Step 3: Cross multiply
    1,410,687x = 2,115,999 × 2,115,999
  4. Step 4: Simplify right side
    1,410,687x = 4,477,451,768,001
  5. Step 5: Solve for x
    x = 4,477,451,768,001/1,410,687
  6. Step 6: Final answer
    x = 3,173,951.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.