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Finding the Third Proportional to 521,840 and 1,143,696

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Solution

The third proportional to 521,840 and 1,143,696 is: 2,506,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,840 : 1,143,696 = 1,143,696 : x
  2. Step 2: Convert to fraction form
    521,840/1,143,696 = 1,143,696/x
  3. Step 3: Cross multiply
    521,840x = 1,143,696 × 1,143,696
  4. Step 4: Simplify right side
    521,840x = 1,308,040,540,416
  5. Step 5: Solve for x
    x = 1,308,040,540,416/521,840
  6. Step 6: Final answer
    x = 2,506,593.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.