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Finding the Third Proportional to 766,257 and 1,611,912

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Solution

The third proportional to 766,257 and 1,611,912 is: 3,390,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,257 : 1,611,912 = 1,611,912 : x
  2. Step 2: Convert to fraction form
    766,257/1,611,912 = 1,611,912/x
  3. Step 3: Cross multiply
    766,257x = 1,611,912 × 1,611,912
  4. Step 4: Simplify right side
    766,257x = 2,598,260,295,744
  5. Step 5: Solve for x
    x = 2,598,260,295,744/766,257
  6. Step 6: Final answer
    x = 3,390,847.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.