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Finding the Third Proportional to 948,456 and 1,686,388

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Solution

The third proportional to 948,456 and 1,686,388 is: 2,998,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,456 : 1,686,388 = 1,686,388 : x
  2. Step 2: Convert to fraction form
    948,456/1,686,388 = 1,686,388/x
  3. Step 3: Cross multiply
    948,456x = 1,686,388 × 1,686,388
  4. Step 4: Simplify right side
    948,456x = 2,843,904,486,544
  5. Step 5: Solve for x
    x = 2,843,904,486,544/948,456
  6. Step 6: Final answer
    x = 2,998,456.95

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.