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Finding the Third Proportional to 520,841 and 1,141,393

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Solution

The third proportional to 520,841 and 1,141,393 is: 2,501,296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,841 : 1,141,393 = 1,141,393 : x
  2. Step 2: Convert to fraction form
    520,841/1,141,393 = 1,141,393/x
  3. Step 3: Cross multiply
    520,841x = 1,141,393 × 1,141,393
  4. Step 4: Simplify right side
    520,841x = 1,302,777,980,449
  5. Step 5: Solve for x
    x = 1,302,777,980,449/520,841
  6. Step 6: Final answer
    x = 2,501,296.90

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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.