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Finding the Third Proportional to 482,107.57 and 1,004,117.13

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Solution

The third proportional to 482,107.57 and 1,004,117.13 is: 2,091,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,107.57 : 1,004,117.13 = 1,004,117.13 : x
  2. Step 2: Convert to fraction form
    482,107.57/1,004,117.13 = 1,004,117.13/x
  3. Step 3: Cross multiply
    482,107.57x = 1,004,117.13 × 1,004,117.13
  4. Step 4: Simplify right side
    482,107.57x = 1,008,251,216,407.60
  5. Step 5: Solve for x
    x = 1,008,251,216,407.60/482,107.57
  6. Step 6: Final answer
    x = 2,091,340.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.