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Finding the Third Proportional to 783,623.91 and 1,082,790.14

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Solution

The third proportional to 783,623.91 and 1,082,790.14 is: 1,496,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,623.91 : 1,082,790.14 = 1,082,790.14 : x
  2. Step 2: Convert to fraction form
    783,623.91/1,082,790.14 = 1,082,790.14/x
  3. Step 3: Cross multiply
    783,623.91x = 1,082,790.14 × 1,082,790.14
  4. Step 4: Simplify right side
    783,623.91x = 1,172,434,488,634.71
  5. Step 5: Solve for x
    x = 1,172,434,488,634.71/783,623.91
  6. Step 6: Final answer
    x = 1,496,169.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.