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Finding the Third Proportional to 814,201.88 and 1,736,609.63

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Solution

The third proportional to 814,201.88 and 1,736,609.63 is: 3,704,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,201.88 : 1,736,609.63 = 1,736,609.63 : x
  2. Step 2: Convert to fraction form
    814,201.88/1,736,609.63 = 1,736,609.63/x
  3. Step 3: Cross multiply
    814,201.88x = 1,736,609.63 × 1,736,609.63
  4. Step 4: Simplify right side
    814,201.88x = 3,015,812,989,642.64
  5. Step 5: Solve for x
    x = 3,015,812,989,642.64/814,201.88
  6. Step 6: Final answer
    x = 3,704,011.35

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