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Finding the Third Proportional to 474,393 and 1,036,338

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Solution

The third proportional to 474,393 and 1,036,338 is: 2,263,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,393 : 1,036,338 = 1,036,338 : x
  2. Step 2: Convert to fraction form
    474,393/1,036,338 = 1,036,338/x
  3. Step 3: Cross multiply
    474,393x = 1,036,338 × 1,036,338
  4. Step 4: Simplify right side
    474,393x = 1,073,996,450,244
  5. Step 5: Solve for x
    x = 1,073,996,450,244/474,393
  6. Step 6: Final answer
    x = 2,263,938.23

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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.