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Finding the Third Proportional to 1,459,284 and 2,331,204

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Solution

The third proportional to 1,459,284 and 2,331,204 is: 3,724,094.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459,284 : 2,331,204 = 2,331,204 : x
  2. Step 2: Convert to fraction form
    1,459,284/2,331,204 = 2,331,204/x
  3. Step 3: Cross multiply
    1,459,284x = 2,331,204 × 2,331,204
  4. Step 4: Simplify right side
    1,459,284x = 5,434,512,089,616
  5. Step 5: Solve for x
    x = 5,434,512,089,616/1,459,284
  6. Step 6: Final answer
    x = 3,724,094.89

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.