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Finding the Third Proportional to 1,193,620 and 2,442,396

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Solution

The third proportional to 1,193,620 and 2,442,396 is: 4,997,652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,620 : 2,442,396 = 2,442,396 : x
  2. Step 2: Convert to fraction form
    1,193,620/2,442,396 = 2,442,396/x
  3. Step 3: Cross multiply
    1,193,620x = 2,442,396 × 2,442,396
  4. Step 4: Simplify right side
    1,193,620x = 5,965,298,220,816
  5. Step 5: Solve for x
    x = 5,965,298,220,816/1,193,620
  6. Step 6: Final answer
    x = 4,997,652.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.