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Finding the Third Proportional to 722,163 and 1,117,601

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Solution

The third proportional to 722,163 and 1,117,601 is: 1,729,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,163 : 1,117,601 = 1,117,601 : x
  2. Step 2: Convert to fraction form
    722,163/1,117,601 = 1,117,601/x
  3. Step 3: Cross multiply
    722,163x = 1,117,601 × 1,117,601
  4. Step 4: Simplify right side
    722,163x = 1,249,031,995,201
  5. Step 5: Solve for x
    x = 1,249,031,995,201/722,163
  6. Step 6: Final answer
    x = 1,729,570.74

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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.