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Finding the Third Proportional to 784,104 and 1,173,022

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Solution

The third proportional to 784,104 and 1,173,022 is: 1,754,844.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,104 : 1,173,022 = 1,173,022 : x
  2. Step 2: Convert to fraction form
    784,104/1,173,022 = 1,173,022/x
  3. Step 3: Cross multiply
    784,104x = 1,173,022 × 1,173,022
  4. Step 4: Simplify right side
    784,104x = 1,375,980,612,484
  5. Step 5: Solve for x
    x = 1,375,980,612,484/784,104
  6. Step 6: Final answer
    x = 1,754,844.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.