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Finding the Third Proportional to 1,735,204 and 3,872,817

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Solution

The third proportional to 1,735,204 and 3,872,817 is: 8,643,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735,204 : 3,872,817 = 3,872,817 : x
  2. Step 2: Convert to fraction form
    1,735,204/3,872,817 = 3,872,817/x
  3. Step 3: Cross multiply
    1,735,204x = 3,872,817 × 3,872,817
  4. Step 4: Simplify right side
    1,735,204x = 14,998,711,515,489
  5. Step 5: Solve for x
    x = 14,998,711,515,489/1,735,204
  6. Step 6: Final answer
    x = 8,643,774.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.