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Finding the Third Proportional to 766,910 and 1,200,423

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Solution

The third proportional to 766,910 and 1,200,423 is: 1,878,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,910 : 1,200,423 = 1,200,423 : x
  2. Step 2: Convert to fraction form
    766,910/1,200,423 = 1,200,423/x
  3. Step 3: Cross multiply
    766,910x = 1,200,423 × 1,200,423
  4. Step 4: Simplify right side
    766,910x = 1,441,015,378,929
  5. Step 5: Solve for x
    x = 1,441,015,378,929/766,910
  6. Step 6: Final answer
    x = 1,878,988.90

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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.