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Finding the Third Proportional to 1,136,511.75 and 1,764,538.13

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Solution

The third proportional to 1,136,511.75 and 1,764,538.13 is: 2,739,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136,511.75 : 1,764,538.13 = 1,764,538.13 : x
  2. Step 2: Convert to fraction form
    1,136,511.75/1,764,538.13 = 1,764,538.13/x
  3. Step 3: Cross multiply
    1,136,511.75x = 1,764,538.13 × 1,764,538.13
  4. Step 4: Simplify right side
    1,136,511.75x = 3,113,594,794,578.52
  5. Step 5: Solve for x
    x = 3,113,594,794,578.52/1,136,511.75
  6. Step 6: Final answer
    x = 2,739,606.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.