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Finding the Third Proportional to 766,259 and 1,611,916

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Solution

The third proportional to 766,259 and 1,611,916 is: 3,390,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,259 : 1,611,916 = 1,611,916 : x
  2. Step 2: Convert to fraction form
    766,259/1,611,916 = 1,611,916/x
  3. Step 3: Cross multiply
    766,259x = 1,611,916 × 1,611,916
  4. Step 4: Simplify right side
    766,259x = 2,598,273,191,056
  5. Step 5: Solve for x
    x = 2,598,273,191,056/766,259
  6. Step 6: Final answer
    x = 3,390,855.04

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