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Finding the Third Proportional to 1,456,910 and 3,169,012

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Solution

The third proportional to 1,456,910 and 3,169,012 is: 6,893,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,910 : 3,169,012 = 3,169,012 : x
  2. Step 2: Convert to fraction form
    1,456,910/3,169,012 = 3,169,012/x
  3. Step 3: Cross multiply
    1,456,910x = 3,169,012 × 3,169,012
  4. Step 4: Simplify right side
    1,456,910x = 10,042,637,056,144
  5. Step 5: Solve for x
    x = 10,042,637,056,144/1,456,910
  6. Step 6: Final answer
    x = 6,893,107.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.