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Finding the Third Proportional to 1,291,650 and 1,991,977

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Solution

The third proportional to 1,291,650 and 1,991,977 is: 3,072,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,650 : 1,991,977 = 1,991,977 : x
  2. Step 2: Convert to fraction form
    1,291,650/1,991,977 = 1,991,977/x
  3. Step 3: Cross multiply
    1,291,650x = 1,991,977 × 1,991,977
  4. Step 4: Simplify right side
    1,291,650x = 3,967,972,368,529
  5. Step 5: Solve for x
    x = 3,967,972,368,529/1,291,650
  6. Step 6: Final answer
    x = 3,072,018.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.