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Finding the Third Proportional to 831,719.81 and 1,693,586.81

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Solution

The third proportional to 831,719.81 and 1,693,586.81 is: 3,448,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,719.81 : 1,693,586.81 = 1,693,586.81 : x
  2. Step 2: Convert to fraction form
    831,719.81/1,693,586.81 = 1,693,586.81/x
  3. Step 3: Cross multiply
    831,719.81x = 1,693,586.81 × 1,693,586.81
  4. Step 4: Simplify right side
    831,719.81x = 2,868,236,291,473.91
  5. Step 5: Solve for x
    x = 2,868,236,291,473.91/831,719.81
  6. Step 6: Final answer
    x = 3,448,560.74

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.