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Finding the Third Proportional to 948,444 and 1,686,366

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Solution

The third proportional to 948,444 and 1,686,366 is: 2,998,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,444 : 1,686,366 = 1,686,366 : x
  2. Step 2: Convert to fraction form
    948,444/1,686,366 = 1,686,366/x
  3. Step 3: Cross multiply
    948,444x = 1,686,366 × 1,686,366
  4. Step 4: Simplify right side
    948,444x = 2,843,830,285,956
  5. Step 5: Solve for x
    x = 2,843,830,285,956/948,444
  6. Step 6: Final answer
    x = 2,998,416.66

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Why These Related Problems?

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