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Finding the Third Proportional to 927,452 and 1,954,524

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Solution

The third proportional to 927,452 and 1,954,524 is: 4,118,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,452 : 1,954,524 = 1,954,524 : x
  2. Step 2: Convert to fraction form
    927,452/1,954,524 = 1,954,524/x
  3. Step 3: Cross multiply
    927,452x = 1,954,524 × 1,954,524
  4. Step 4: Simplify right side
    927,452x = 3,820,164,066,576
  5. Step 5: Solve for x
    x = 3,820,164,066,576/927,452
  6. Step 6: Final answer
    x = 4,118,988.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.