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Finding the Third Proportional to 814,181.63 and 1,736,569.13

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Solution

The third proportional to 814,181.63 and 1,736,569.13 is: 3,703,930.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,181.63 : 1,736,569.13 = 1,736,569.13 : x
  2. Step 2: Convert to fraction form
    814,181.63/1,736,569.13 = 1,736,569.13/x
  3. Step 3: Cross multiply
    814,181.63x = 1,736,569.13 × 1,736,569.13
  4. Step 4: Simplify right side
    814,181.63x = 3,015,672,325,903.27
  5. Step 5: Solve for x
    x = 3,015,672,325,903.27/814,181.63
  6. Step 6: Final answer
    x = 3,703,930.71

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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.