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Finding the Third Proportional to 499,070.25 and 1,082,217.38

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Solution

The third proportional to 499,070.25 and 1,082,217.38 is: 2,346,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,070.25 : 1,082,217.38 = 1,082,217.38 : x
  2. Step 2: Convert to fraction form
    499,070.25/1,082,217.38 = 1,082,217.38/x
  3. Step 3: Cross multiply
    499,070.25x = 1,082,217.38 × 1,082,217.38
  4. Step 4: Simplify right side
    499,070.25x = 1,171,194,446,751.89
  5. Step 5: Solve for x
    x = 1,171,194,446,751.89/499,070.25
  6. Step 6: Final answer
    x = 2,346,752.68

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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.