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Finding the Third Proportional to 675,895 and 1,046,198

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Solution

The third proportional to 675,895 and 1,046,198 is: 1,619,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,895 : 1,046,198 = 1,046,198 : x
  2. Step 2: Convert to fraction form
    675,895/1,046,198 = 1,046,198/x
  3. Step 3: Cross multiply
    675,895x = 1,046,198 × 1,046,198
  4. Step 4: Simplify right side
    675,895x = 1,094,530,255,204
  5. Step 5: Solve for x
    x = 1,094,530,255,204/675,895
  6. Step 6: Final answer
    x = 1,619,379.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.