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Finding the Third Proportional to 534,837 and 1,187,772

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Solution

The third proportional to 534,837 and 1,187,772 is: 2,637,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,837 : 1,187,772 = 1,187,772 : x
  2. Step 2: Convert to fraction form
    534,837/1,187,772 = 1,187,772/x
  3. Step 3: Cross multiply
    534,837x = 1,187,772 × 1,187,772
  4. Step 4: Simplify right side
    534,837x = 1,410,802,323,984
  5. Step 5: Solve for x
    x = 1,410,802,323,984/534,837
  6. Step 6: Final answer
    x = 2,637,817.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.