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Finding the Third Proportional to 1,101,831 and 1,684,406

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Solution

The third proportional to 1,101,831 and 1,684,406 is: 2,575,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,831 : 1,684,406 = 1,684,406 : x
  2. Step 2: Convert to fraction form
    1,101,831/1,684,406 = 1,684,406/x
  3. Step 3: Cross multiply
    1,101,831x = 1,684,406 × 1,684,406
  4. Step 4: Simplify right side
    1,101,831x = 2,837,223,572,836
  5. Step 5: Solve for x
    x = 2,837,223,572,836/1,101,831
  6. Step 6: Final answer
    x = 2,575,007.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.