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Finding the Third Proportional to 740,141.50 and 1,538,462

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Solution

The third proportional to 740,141.50 and 1,538,462 is: 3,197,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,141.50 : 1,538,462 = 1,538,462 : x
  2. Step 2: Convert to fraction form
    740,141.50/1,538,462 = 1,538,462/x
  3. Step 3: Cross multiply
    740,141.50x = 1,538,462 × 1,538,462
  4. Step 4: Simplify right side
    740,141.50x = 2,366,865,325,444
  5. Step 5: Solve for x
    x = 2,366,865,325,444/740,141.50
  6. Step 6: Final answer
    x = 3,197,855.17

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.