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Finding the Third Proportional to 808,100 and 1,767,649

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Solution

The third proportional to 808,100 and 1,767,649 is: 3,866,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,100 : 1,767,649 = 1,767,649 : x
  2. Step 2: Convert to fraction form
    808,100/1,767,649 = 1,767,649/x
  3. Step 3: Cross multiply
    808,100x = 1,767,649 × 1,767,649
  4. Step 4: Simplify right side
    808,100x = 3,124,582,987,201
  5. Step 5: Solve for x
    x = 3,124,582,987,201/808,100
  6. Step 6: Final answer
    x = 3,866,579.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.