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Finding the Third Proportional to 1,831,099.92 and 2,696,058.42

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Solution

The third proportional to 1,831,099.92 and 2,696,058.42 is: 3,969,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,099.92 : 2,696,058.42 = 2,696,058.42 : x
  2. Step 2: Convert to fraction form
    1,831,099.92/2,696,058.42 = 2,696,058.42/x
  3. Step 3: Cross multiply
    1,831,099.92x = 2,696,058.42 × 2,696,058.42
  4. Step 4: Simplify right side
    1,831,099.92x = 7,268,731,014,163.12
  5. Step 5: Solve for x
    x = 7,268,731,014,163.12/1,831,099.92
  6. Step 6: Final answer
    x = 3,969,598.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.