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Finding the Third Proportional to 813,660 and 1,701,678

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Solution

The third proportional to 813,660 and 1,701,678 is: 3,558,867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,660 : 1,701,678 = 1,701,678 : x
  2. Step 2: Convert to fraction form
    813,660/1,701,678 = 1,701,678/x
  3. Step 3: Cross multiply
    813,660x = 1,701,678 × 1,701,678
  4. Step 4: Simplify right side
    813,660x = 2,895,708,015,684
  5. Step 5: Solve for x
    x = 2,895,708,015,684/813,660
  6. Step 6: Final answer
    x = 3,558,867.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.