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Finding the Third Proportional to 1,202,144 and 2,538,424

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Solution

The third proportional to 1,202,144 and 2,538,424 is: 5,360,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,144 : 2,538,424 = 2,538,424 : x
  2. Step 2: Convert to fraction form
    1,202,144/2,538,424 = 2,538,424/x
  3. Step 3: Cross multiply
    1,202,144x = 2,538,424 × 2,538,424
  4. Step 4: Simplify right side
    1,202,144x = 6,443,596,403,776
  5. Step 5: Solve for x
    x = 6,443,596,403,776/1,202,144
  6. Step 6: Final answer
    x = 5,360,086.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.