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Finding the Third Proportional to 813,974.06 and 1,736,022.38

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Solution

The third proportional to 813,974.06 and 1,736,022.38 is: 3,702,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,974.06 : 1,736,022.38 = 1,736,022.38 : x
  2. Step 2: Convert to fraction form
    813,974.06/1,736,022.38 = 1,736,022.38/x
  3. Step 3: Cross multiply
    813,974.06x = 1,736,022.38 × 1,736,022.38
  4. Step 4: Simplify right side
    813,974.06x = 3,013,773,686,500.64
  5. Step 5: Solve for x
    x = 3,013,773,686,500.64/813,974.06
  6. Step 6: Final answer
    x = 3,702,542.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.