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Finding the Third Proportional to 1,180,640.81 and 1,823,137.88

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Solution

The third proportional to 1,180,640.81 and 1,823,137.88 is: 2,815,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,640.81 : 1,823,137.88 = 1,823,137.88 : x
  2. Step 2: Convert to fraction form
    1,180,640.81/1,823,137.88 = 1,823,137.88/x
  3. Step 3: Cross multiply
    1,180,640.81x = 1,823,137.88 × 1,823,137.88
  4. Step 4: Simplify right side
    1,180,640.81x = 3,323,831,711,259.52
  5. Step 5: Solve for x
    x = 3,323,831,711,259.52/1,180,640.81
  6. Step 6: Final answer
    x = 2,815,277.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.