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Finding the Third Proportional to 766,225 and 1,611,848

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Solution

The third proportional to 766,225 and 1,611,848 is: 3,390,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,225 : 1,611,848 = 1,611,848 : x
  2. Step 2: Convert to fraction form
    766,225/1,611,848 = 1,611,848/x
  3. Step 3: Cross multiply
    766,225x = 1,611,848 × 1,611,848
  4. Step 4: Simplify right side
    766,225x = 2,598,053,975,104
  5. Step 5: Solve for x
    x = 2,598,053,975,104/766,225
  6. Step 6: Final answer
    x = 3,390,719.40

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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.