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Finding the Third Proportional to 409,452 and 885,968

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Solution

The third proportional to 409,452 and 885,968 is: 1,917,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,452 : 885,968 = 885,968 : x
  2. Step 2: Convert to fraction form
    409,452/885,968 = 885,968/x
  3. Step 3: Cross multiply
    409,452x = 885,968 × 885,968
  4. Step 4: Simplify right side
    409,452x = 784,939,297,024
  5. Step 5: Solve for x
    x = 784,939,297,024/409,452
  6. Step 6: Final answer
    x = 1,917,048.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.