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Finding the Third Proportional to 1,196,844 and 2,583,912

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Solution

The third proportional to 1,196,844 and 2,583,912 is: 5,578,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,844 : 2,583,912 = 2,583,912 : x
  2. Step 2: Convert to fraction form
    1,196,844/2,583,912 = 2,583,912/x
  3. Step 3: Cross multiply
    1,196,844x = 2,583,912 × 2,583,912
  4. Step 4: Simplify right side
    1,196,844x = 6,676,601,223,744
  5. Step 5: Solve for x
    x = 6,676,601,223,744/1,196,844
  6. Step 6: Final answer
    x = 5,578,505.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.