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Finding the Third Proportional to 1,004,406 and 1,515,664.50

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Solution

The third proportional to 1,004,406 and 1,515,664.50 is: 2,287,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,406 : 1,515,664.50 = 1,515,664.50 : x
  2. Step 2: Convert to fraction form
    1,004,406/1,515,664.50 = 1,515,664.50/x
  3. Step 3: Cross multiply
    1,004,406x = 1,515,664.50 × 1,515,664.50
  4. Step 4: Simplify right side
    1,004,406x = 2,297,238,876,560.25
  5. Step 5: Solve for x
    x = 2,297,238,876,560.25/1,004,406
  6. Step 6: Final answer
    x = 2,287,161.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.