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Finding the Third Proportional to 1,196,864 and 2,618,944

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Solution

The third proportional to 1,196,864 and 2,618,944 is: 5,730,699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,864 : 2,618,944 = 2,618,944 : x
  2. Step 2: Convert to fraction form
    1,196,864/2,618,944 = 2,618,944/x
  3. Step 3: Cross multiply
    1,196,864x = 2,618,944 × 2,618,944
  4. Step 4: Simplify right side
    1,196,864x = 6,858,867,675,136
  5. Step 5: Solve for x
    x = 6,858,867,675,136/1,196,864
  6. Step 6: Final answer
    x = 5,730,699.29

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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.