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Finding the Third Proportional to 766,510 and 1,612,400

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Solution

The third proportional to 766,510 and 1,612,400 is: 3,391,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,510 : 1,612,400 = 1,612,400 : x
  2. Step 2: Convert to fraction form
    766,510/1,612,400 = 1,612,400/x
  3. Step 3: Cross multiply
    766,510x = 1,612,400 × 1,612,400
  4. Step 4: Simplify right side
    766,510x = 2,599,833,760,000
  5. Step 5: Solve for x
    x = 2,599,833,760,000/766,510
  6. Step 6: Final answer
    x = 3,391,780.62

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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.