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Finding the Third Proportional to 1,206,110 and 1,638,003

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Solution

The third proportional to 1,206,110 and 1,638,003 is: 2,224,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,110 : 1,638,003 = 1,638,003 : x
  2. Step 2: Convert to fraction form
    1,206,110/1,638,003 = 1,638,003/x
  3. Step 3: Cross multiply
    1,206,110x = 1,638,003 × 1,638,003
  4. Step 4: Simplify right side
    1,206,110x = 2,683,053,828,009
  5. Step 5: Solve for x
    x = 2,683,053,828,009/1,206,110
  6. Step 6: Final answer
    x = 2,224,551.52

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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.