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Finding the Third Proportional to 3,669,299 and 5,396,097

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Solution

The third proportional to 3,669,299 and 5,396,097 is: 7,935,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,299 : 5,396,097 = 5,396,097 : x
  2. Step 2: Convert to fraction form
    3,669,299/5,396,097 = 5,396,097/x
  3. Step 3: Cross multiply
    3,669,299x = 5,396,097 × 5,396,097
  4. Step 4: Simplify right side
    3,669,299x = 29,117,862,833,409
  5. Step 5: Solve for x
    x = 29,117,862,833,409/3,669,299
  6. Step 6: Final answer
    x = 7,935,538.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.