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Finding the Third Proportional to 2,049,925 and 3,182,324

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Solution

The third proportional to 2,049,925 and 3,182,324 is: 4,940,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,925 : 3,182,324 = 3,182,324 : x
  2. Step 2: Convert to fraction form
    2,049,925/3,182,324 = 3,182,324/x
  3. Step 3: Cross multiply
    2,049,925x = 3,182,324 × 3,182,324
  4. Step 4: Simplify right side
    2,049,925x = 10,127,186,040,976
  5. Step 5: Solve for x
    x = 10,127,186,040,976/2,049,925
  6. Step 6: Final answer
    x = 4,940,271.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.