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Finding the Third Proportional to 454,352.63 and 991,234.13

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Solution

The third proportional to 454,352.63 and 991,234.13 is: 2,162,516.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,352.63 : 991,234.13 = 991,234.13 : x
  2. Step 2: Convert to fraction form
    454,352.63/991,234.13 = 991,234.13/x
  3. Step 3: Cross multiply
    454,352.63x = 991,234.13 × 991,234.13
  4. Step 4: Simplify right side
    454,352.63x = 982,545,090,564.52
  5. Step 5: Solve for x
    x = 982,545,090,564.52/454,352.63
  6. Step 6: Final answer
    x = 2,162,516.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.