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Finding the Third Proportional to 474,338 and 1,036,228

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Solution

The third proportional to 474,338 and 1,036,228 is: 2,263,720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,338 : 1,036,228 = 1,036,228 : x
  2. Step 2: Convert to fraction form
    474,338/1,036,228 = 1,036,228/x
  3. Step 3: Cross multiply
    474,338x = 1,036,228 × 1,036,228
  4. Step 4: Simplify right side
    474,338x = 1,073,768,467,984
  5. Step 5: Solve for x
    x = 1,073,768,467,984/474,338
  6. Step 6: Final answer
    x = 2,263,720.11

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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.