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Finding the Third Proportional to 1,831,098 and 3,977,427

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Solution

The third proportional to 1,831,098 and 3,977,427 is: 8,639,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,098 : 3,977,427 = 3,977,427 : x
  2. Step 2: Convert to fraction form
    1,831,098/3,977,427 = 3,977,427/x
  3. Step 3: Cross multiply
    1,831,098x = 3,977,427 × 3,977,427
  4. Step 4: Simplify right side
    1,831,098x = 15,819,925,540,329
  5. Step 5: Solve for x
    x = 15,819,925,540,329/1,831,098
  6. Step 6: Final answer
    x = 8,639,584.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.