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Finding the Third Proportional to 445,912 and 952,304

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Solution

The third proportional to 445,912 and 952,304 is: 2,033,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,912 : 952,304 = 952,304 : x
  2. Step 2: Convert to fraction form
    445,912/952,304 = 952,304/x
  3. Step 3: Cross multiply
    445,912x = 952,304 × 952,304
  4. Step 4: Simplify right side
    445,912x = 906,882,908,416
  5. Step 5: Solve for x
    x = 906,882,908,416/445,912
  6. Step 6: Final answer
    x = 2,033,771.03

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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.