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Finding the Third Proportional to 1,035,142 and 2,262,193

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Solution

The third proportional to 1,035,142 and 2,262,193 is: 4,943,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,142 : 2,262,193 = 2,262,193 : x
  2. Step 2: Convert to fraction form
    1,035,142/2,262,193 = 2,262,193/x
  3. Step 3: Cross multiply
    1,035,142x = 2,262,193 × 2,262,193
  4. Step 4: Simplify right side
    1,035,142x = 5,117,517,169,249
  5. Step 5: Solve for x
    x = 5,117,517,169,249/1,035,142
  6. Step 6: Final answer
    x = 4,943,782.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.