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Finding the Third Proportional to 411,599 and 901,903

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Solution

The third proportional to 411,599 and 901,903 is: 1,976,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,599 : 901,903 = 901,903 : x
  2. Step 2: Convert to fraction form
    411,599/901,903 = 901,903/x
  3. Step 3: Cross multiply
    411,599x = 901,903 × 901,903
  4. Step 4: Simplify right side
    411,599x = 813,429,021,409
  5. Step 5: Solve for x
    x = 813,429,021,409/411,599
  6. Step 6: Final answer
    x = 1,976,265.79

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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.