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Finding the Third Proportional to 1,603,839 and 2,119,989

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Solution

The third proportional to 1,603,839 and 2,119,989 is: 2,802,247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603,839 : 2,119,989 = 2,119,989 : x
  2. Step 2: Convert to fraction form
    1,603,839/2,119,989 = 2,119,989/x
  3. Step 3: Cross multiply
    1,603,839x = 2,119,989 × 2,119,989
  4. Step 4: Simplify right side
    1,603,839x = 4,494,353,360,121
  5. Step 5: Solve for x
    x = 4,494,353,360,121/1,603,839
  6. Step 6: Final answer
    x = 2,802,247.21

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.