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Finding the Third Proportional to 1,206,112 and 1,638,006

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Solution

The third proportional to 1,206,112 and 1,638,006 is: 2,224,555.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,112 : 1,638,006 = 1,638,006 : x
  2. Step 2: Convert to fraction form
    1,206,112/1,638,006 = 1,638,006/x
  3. Step 3: Cross multiply
    1,206,112x = 1,638,006 × 1,638,006
  4. Step 4: Simplify right side
    1,206,112x = 2,683,063,656,036
  5. Step 5: Solve for x
    x = 2,683,063,656,036/1,206,112
  6. Step 6: Final answer
    x = 2,224,555.97

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.