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Finding the Third Proportional to 414,532 and 885,944

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Solution

The third proportional to 414,532 and 885,944 is: 1,893,452.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,532 : 885,944 = 885,944 : x
  2. Step 2: Convert to fraction form
    414,532/885,944 = 885,944/x
  3. Step 3: Cross multiply
    414,532x = 885,944 × 885,944
  4. Step 4: Simplify right side
    414,532x = 784,896,771,136
  5. Step 5: Solve for x
    x = 784,896,771,136/414,532
  6. Step 6: Final answer
    x = 1,893,452.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.