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Finding the Third Proportional to 1,200,483.38 and 1,831,213.88

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Solution

The third proportional to 1,200,483.38 and 1,831,213.88 is: 2,793,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,483.38 : 1,831,213.88 = 1,831,213.88 : x
  2. Step 2: Convert to fraction form
    1,200,483.38/1,831,213.88 = 1,831,213.88/x
  3. Step 3: Cross multiply
    1,200,483.38x = 1,831,213.88 × 1,831,213.88
  4. Step 4: Simplify right side
    1,200,483.38x = 3,353,344,255,992.52
  5. Step 5: Solve for x
    x = 3,353,344,255,992.52/1,200,483.38
  6. Step 6: Final answer
    x = 2,793,328.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.