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Finding the Third Proportional to 1,538,569.50 and 3,348,057

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Solution

The third proportional to 1,538,569.50 and 3,348,057 is: 7,285,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,569.50 : 3,348,057 = 3,348,057 : x
  2. Step 2: Convert to fraction form
    1,538,569.50/3,348,057 = 3,348,057/x
  3. Step 3: Cross multiply
    1,538,569.50x = 3,348,057 × 3,348,057
  4. Step 4: Simplify right side
    1,538,569.50x = 11,209,485,675,249
  5. Step 5: Solve for x
    x = 11,209,485,675,249/1,538,569.50
  6. Step 6: Final answer
    x = 7,285,654.42

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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.