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Finding the Third Proportional to 1,164,570 and 2,469,107

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Solution

The third proportional to 1,164,570 and 2,469,107 is: 5,234,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,570 : 2,469,107 = 2,469,107 : x
  2. Step 2: Convert to fraction form
    1,164,570/2,469,107 = 2,469,107/x
  3. Step 3: Cross multiply
    1,164,570x = 2,469,107 × 2,469,107
  4. Step 4: Simplify right side
    1,164,570x = 6,096,489,377,449
  5. Step 5: Solve for x
    x = 6,096,489,377,449/1,164,570
  6. Step 6: Final answer
    x = 5,234,970.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.