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Finding the Third Proportional to 1,412,412 and 2,161,006

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Solution

The third proportional to 1,412,412 and 2,161,006 is: 3,306,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,412 : 2,161,006 = 2,161,006 : x
  2. Step 2: Convert to fraction form
    1,412,412/2,161,006 = 2,161,006/x
  3. Step 3: Cross multiply
    1,412,412x = 2,161,006 × 2,161,006
  4. Step 4: Simplify right side
    1,412,412x = 4,669,946,932,036
  5. Step 5: Solve for x
    x = 4,669,946,932,036/1,412,412
  6. Step 6: Final answer
    x = 3,306,363.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.