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Finding the Third Proportional to 1,538,524.88 and 3,347,962.88

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Solution

The third proportional to 1,538,524.88 and 3,347,962.88 is: 7,285,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,524.88 : 3,347,962.88 = 3,347,962.88 : x
  2. Step 2: Convert to fraction form
    1,538,524.88/3,347,962.88 = 3,347,962.88/x
  3. Step 3: Cross multiply
    1,538,524.88x = 3,347,962.88 × 3,347,962.88
  4. Step 4: Simplify right side
    1,538,524.88x = 11,208,855,412,378.27
  5. Step 5: Solve for x
    x = 11,208,855,412,378.27/1,538,524.88
  6. Step 6: Final answer
    x = 7,285,456.08

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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.