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Finding the Third Proportional to 659,097 and 1,444,293

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Solution

The third proportional to 659,097 and 1,444,293 is: 3,164,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,097 : 1,444,293 = 1,444,293 : x
  2. Step 2: Convert to fraction form
    659,097/1,444,293 = 1,444,293/x
  3. Step 3: Cross multiply
    659,097x = 1,444,293 × 1,444,293
  4. Step 4: Simplify right side
    659,097x = 2,085,982,269,849
  5. Step 5: Solve for x
    x = 2,085,982,269,849/659,097
  6. Step 6: Final answer
    x = 3,164,909.37

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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.