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Finding the Third Proportional to 553,940 and 1,205,096

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Solution

The third proportional to 553,940 and 1,205,096 is: 2,621,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,940 : 1,205,096 = 1,205,096 : x
  2. Step 2: Convert to fraction form
    553,940/1,205,096 = 1,205,096/x
  3. Step 3: Cross multiply
    553,940x = 1,205,096 × 1,205,096
  4. Step 4: Simplify right side
    553,940x = 1,452,256,369,216
  5. Step 5: Solve for x
    x = 1,452,256,369,216/553,940
  6. Step 6: Final answer
    x = 2,621,685.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.