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Finding the Third Proportional to 1,140,738 and 1,594,916

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Solution

The third proportional to 1,140,738 and 1,594,916 is: 2,229,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,738 : 1,594,916 = 1,594,916 : x
  2. Step 2: Convert to fraction form
    1,140,738/1,594,916 = 1,594,916/x
  3. Step 3: Cross multiply
    1,140,738x = 1,594,916 × 1,594,916
  4. Step 4: Simplify right side
    1,140,738x = 2,543,757,047,056
  5. Step 5: Solve for x
    x = 2,543,757,047,056/1,140,738
  6. Step 6: Final answer
    x = 2,229,922.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.