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Finding the Third Proportional to 2,047,463 and 3,211,592

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Solution

The third proportional to 2,047,463 and 3,211,592 is: 5,037,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,463 : 3,211,592 = 3,211,592 : x
  2. Step 2: Convert to fraction form
    2,047,463/3,211,592 = 3,211,592/x
  3. Step 3: Cross multiply
    2,047,463x = 3,211,592 × 3,211,592
  4. Step 4: Simplify right side
    2,047,463x = 10,314,323,174,464
  5. Step 5: Solve for x
    x = 10,314,323,174,464/2,047,463
  6. Step 6: Final answer
    x = 5,037,611.51

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.