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Finding the Third Proportional to 1,309,969 and 2,864,336

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Solution

The third proportional to 1,309,969 and 2,864,336 is: 6,263,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,969 : 2,864,336 = 2,864,336 : x
  2. Step 2: Convert to fraction form
    1,309,969/2,864,336 = 2,864,336/x
  3. Step 3: Cross multiply
    1,309,969x = 2,864,336 × 2,864,336
  4. Step 4: Simplify right side
    1,309,969x = 8,204,420,720,896
  5. Step 5: Solve for x
    x = 8,204,420,720,896/1,309,969
  6. Step 6: Final answer
    x = 6,263,064.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.