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Finding the Third Proportional to 510,972 and 1,074,860

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Solution

The third proportional to 510,972 and 1,074,860 is: 2,261,031.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,972 : 1,074,860 = 1,074,860 : x
  2. Step 2: Convert to fraction form
    510,972/1,074,860 = 1,074,860/x
  3. Step 3: Cross multiply
    510,972x = 1,074,860 × 1,074,860
  4. Step 4: Simplify right side
    510,972x = 1,155,324,019,600
  5. Step 5: Solve for x
    x = 1,155,324,019,600/510,972
  6. Step 6: Final answer
    x = 2,261,031.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.