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Finding the Third Proportional to 814,215 and 1,736,634

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Solution

The third proportional to 814,215 and 1,736,634 is: 3,704,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,215 : 1,736,634 = 1,736,634 : x
  2. Step 2: Convert to fraction form
    814,215/1,736,634 = 1,736,634/x
  3. Step 3: Cross multiply
    814,215x = 1,736,634 × 1,736,634
  4. Step 4: Simplify right side
    814,215x = 3,015,897,649,956
  5. Step 5: Solve for x
    x = 3,015,897,649,956/814,215
  6. Step 6: Final answer
    x = 3,704,055.62

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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.