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Finding the Third Proportional to 474,408 and 1,036,368

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Solution

The third proportional to 474,408 and 1,036,368 is: 2,263,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,408 : 1,036,368 = 1,036,368 : x
  2. Step 2: Convert to fraction form
    474,408/1,036,368 = 1,036,368/x
  3. Step 3: Cross multiply
    474,408x = 1,036,368 × 1,036,368
  4. Step 4: Simplify right side
    474,408x = 1,074,058,631,424
  5. Step 5: Solve for x
    x = 1,074,058,631,424/474,408
  6. Step 6: Final answer
    x = 2,263,997.72

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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.