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Finding the Third Proportional to 1,831,084 and 3,977,408

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Solution

The third proportional to 1,831,084 and 3,977,408 is: 8,639,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,084 : 3,977,408 = 3,977,408 : x
  2. Step 2: Convert to fraction form
    1,831,084/3,977,408 = 3,977,408/x
  3. Step 3: Cross multiply
    1,831,084x = 3,977,408 × 3,977,408
  4. Step 4: Simplify right side
    1,831,084x = 15,819,774,398,464
  5. Step 5: Solve for x
    x = 15,819,774,398,464/1,831,084
  6. Step 6: Final answer
    x = 8,639,567.82

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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.