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Finding the Third Proportional to 592,344 and 1,155,163

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Solution

The third proportional to 592,344 and 1,155,163 is: 2,252,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,344 : 1,155,163 = 1,155,163 : x
  2. Step 2: Convert to fraction form
    592,344/1,155,163 = 1,155,163/x
  3. Step 3: Cross multiply
    592,344x = 1,155,163 × 1,155,163
  4. Step 4: Simplify right side
    592,344x = 1,334,401,556,569
  5. Step 5: Solve for x
    x = 1,334,401,556,569/592,344
  6. Step 6: Final answer
    x = 2,252,747.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.