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Finding the Third Proportional to 766,956 and 1,200,492

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Solution

The third proportional to 766,956 and 1,200,492 is: 1,879,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,956 : 1,200,492 = 1,200,492 : x
  2. Step 2: Convert to fraction form
    766,956/1,200,492 = 1,200,492/x
  3. Step 3: Cross multiply
    766,956x = 1,200,492 × 1,200,492
  4. Step 4: Simplify right side
    766,956x = 1,441,181,042,064
  5. Step 5: Solve for x
    x = 1,441,181,042,064/766,956
  6. Step 6: Final answer
    x = 1,879,092.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.