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Finding the Third Proportional to 614,452 and 1,336,613

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Solution

The third proportional to 614,452 and 1,336,613 is: 2,907,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,452 : 1,336,613 = 1,336,613 : x
  2. Step 2: Convert to fraction form
    614,452/1,336,613 = 1,336,613/x
  3. Step 3: Cross multiply
    614,452x = 1,336,613 × 1,336,613
  4. Step 4: Simplify right side
    614,452x = 1,786,534,311,769
  5. Step 5: Solve for x
    x = 1,786,534,311,769/614,452
  6. Step 6: Final answer
    x = 2,907,524.61

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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.