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Finding the Third Proportional to 2,805,580 and 6,136,144

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Solution

The third proportional to 2,805,580 and 6,136,144 is: 13,420,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805,580 : 6,136,144 = 6,136,144 : x
  2. Step 2: Convert to fraction form
    2,805,580/6,136,144 = 6,136,144/x
  3. Step 3: Cross multiply
    2,805,580x = 6,136,144 × 6,136,144
  4. Step 4: Simplify right side
    2,805,580x = 37,652,263,188,736
  5. Step 5: Solve for x
    x = 37,652,263,188,736/2,805,580
  6. Step 6: Final answer
    x = 13,420,491.73

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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.