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Finding the Third Proportional to 811,144 and 1,877,745

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Solution

The third proportional to 811,144 and 1,877,745 is: 4,346,856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,144 : 1,877,745 = 1,877,745 : x
  2. Step 2: Convert to fraction form
    811,144/1,877,745 = 1,877,745/x
  3. Step 3: Cross multiply
    811,144x = 1,877,745 × 1,877,745
  4. Step 4: Simplify right side
    811,144x = 3,525,926,285,025
  5. Step 5: Solve for x
    x = 3,525,926,285,025/811,144
  6. Step 6: Final answer
    x = 4,346,856.15

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.