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Finding the Third Proportional to 474,379 and 1,036,310

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Solution

The third proportional to 474,379 and 1,036,310 is: 2,263,882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,379 : 1,036,310 = 1,036,310 : x
  2. Step 2: Convert to fraction form
    474,379/1,036,310 = 1,036,310/x
  3. Step 3: Cross multiply
    474,379x = 1,036,310 × 1,036,310
  4. Step 4: Simplify right side
    474,379x = 1,073,938,416,100
  5. Step 5: Solve for x
    x = 1,073,938,416,100/474,379
  6. Step 6: Final answer
    x = 2,263,882.71

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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.