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Finding the Third Proportional to 1,287,738 and 2,543,046

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Solution

The third proportional to 1,287,738 and 2,543,046 is: 5,022,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,738 : 2,543,046 = 2,543,046 : x
  2. Step 2: Convert to fraction form
    1,287,738/2,543,046 = 2,543,046/x
  3. Step 3: Cross multiply
    1,287,738x = 2,543,046 × 2,543,046
  4. Step 4: Simplify right side
    1,287,738x = 6,467,082,958,116
  5. Step 5: Solve for x
    x = 6,467,082,958,116/1,287,738
  6. Step 6: Final answer
    x = 5,022,048.71

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.