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Finding the Third Proportional to 807,896 and 1,228,631

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Solution

The third proportional to 807,896 and 1,228,631 is: 1,868,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,896 : 1,228,631 = 1,228,631 : x
  2. Step 2: Convert to fraction form
    807,896/1,228,631 = 1,228,631/x
  3. Step 3: Cross multiply
    807,896x = 1,228,631 × 1,228,631
  4. Step 4: Simplify right side
    807,896x = 1,509,534,134,161
  5. Step 5: Solve for x
    x = 1,509,534,134,161/807,896
  6. Step 6: Final answer
    x = 1,868,475.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.