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Finding the Third Proportional to 731,286 and 1,116,369

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Solution

The third proportional to 731,286 and 1,116,369 is: 1,704,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,286 : 1,116,369 = 1,116,369 : x
  2. Step 2: Convert to fraction form
    731,286/1,116,369 = 1,116,369/x
  3. Step 3: Cross multiply
    731,286x = 1,116,369 × 1,116,369
  4. Step 4: Simplify right side
    731,286x = 1,246,279,744,161
  5. Step 5: Solve for x
    x = 1,246,279,744,161/731,286
  6. Step 6: Final answer
    x = 1,704,230.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.