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Finding the Third Proportional to 553,941 and 1,201,194

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Solution

The third proportional to 553,941 and 1,201,194 is: 2,604,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,941 : 1,201,194 = 1,201,194 : x
  2. Step 2: Convert to fraction form
    553,941/1,201,194 = 1,201,194/x
  3. Step 3: Cross multiply
    553,941x = 1,201,194 × 1,201,194
  4. Step 4: Simplify right side
    553,941x = 1,442,867,025,636
  5. Step 5: Solve for x
    x = 1,442,867,025,636/553,941
  6. Step 6: Final answer
    x = 2,604,730.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.