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Finding the Third Proportional to 1,233,185.13 and 2,690,469.42

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Solution

The third proportional to 1,233,185.13 and 2,690,469.42 is: 5,869,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,185.13 : 2,690,469.42 = 2,690,469.42 : x
  2. Step 2: Convert to fraction form
    1,233,185.13/2,690,469.42 = 2,690,469.42/x
  3. Step 3: Cross multiply
    1,233,185.13x = 2,690,469.42 × 2,690,469.42
  4. Step 4: Simplify right side
    1,233,185.13x = 7,238,625,710,044.40
  5. Step 5: Solve for x
    x = 7,238,625,710,044.40/1,233,185.13
  6. Step 6: Final answer
    x = 5,869,861.32

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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.