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Finding the Third Proportional to 474,421 and 1,036,394

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Solution

The third proportional to 474,421 and 1,036,394 is: 2,264,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,421 : 1,036,394 = 1,036,394 : x
  2. Step 2: Convert to fraction form
    474,421/1,036,394 = 1,036,394/x
  3. Step 3: Cross multiply
    474,421x = 1,036,394 × 1,036,394
  4. Step 4: Simplify right side
    474,421x = 1,074,112,523,236
  5. Step 5: Solve for x
    x = 1,074,112,523,236/474,421
  6. Step 6: Final answer
    x = 2,264,049.28

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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.