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Finding the Third Proportional to 1,124.82 and 1,606.55

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Solution

The third proportional to 1,124.82 and 1,606.55 is: 2,294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.82 : 1,606.55 = 1,606.55 : x
  2. Step 2: Convert to fraction form
    1,124.82/1,606.55 = 1,606.55/x
  3. Step 3: Cross multiply
    1,124.82x = 1,606.55 × 1,606.55
  4. Step 4: Simplify right side
    1,124.82x = 2,581,011.69
  5. Step 5: Solve for x
    x = 2,581,011.69/1,124.82
  6. Step 6: Final answer
    x = 2,294.59

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.