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Finding the Third Proportional to 491,284.50 and 1,041,615

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Solution

The third proportional to 491,284.50 and 1,041,615 is: 2,208,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,284.50 : 1,041,615 = 1,041,615 : x
  2. Step 2: Convert to fraction form
    491,284.50/1,041,615 = 1,041,615/x
  3. Step 3: Cross multiply
    491,284.50x = 1,041,615 × 1,041,615
  4. Step 4: Simplify right side
    491,284.50x = 1,084,961,808,225
  5. Step 5: Solve for x
    x = 1,084,961,808,225/491,284.50
  6. Step 6: Final answer
    x = 2,208,418.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.