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Finding the Third Proportional to 565,515 and 1,230,903

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Solution

The third proportional to 565,515 and 1,230,903 is: 2,679,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,515 : 1,230,903 = 1,230,903 : x
  2. Step 2: Convert to fraction form
    565,515/1,230,903 = 1,230,903/x
  3. Step 3: Cross multiply
    565,515x = 1,230,903 × 1,230,903
  4. Step 4: Simplify right side
    565,515x = 1,515,122,195,409
  5. Step 5: Solve for x
    x = 1,515,122,195,409/565,515
  6. Step 6: Final answer
    x = 2,679,190.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.