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Finding the Third Proportional to 496,086 and 1,074,540

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Solution

The third proportional to 496,086 and 1,074,540 is: 2,327,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,086 : 1,074,540 = 1,074,540 : x
  2. Step 2: Convert to fraction form
    496,086/1,074,540 = 1,074,540/x
  3. Step 3: Cross multiply
    496,086x = 1,074,540 × 1,074,540
  4. Step 4: Simplify right side
    496,086x = 1,154,636,211,600
  5. Step 5: Solve for x
    x = 1,154,636,211,600/496,086
  6. Step 6: Final answer
    x = 2,327,492.03

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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.