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Finding the Third Proportional to 438,084 and 950,532

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Solution

The third proportional to 438,084 and 950,532 is: 2,062,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,084 : 950,532 = 950,532 : x
  2. Step 2: Convert to fraction form
    438,084/950,532 = 950,532/x
  3. Step 3: Cross multiply
    438,084x = 950,532 × 950,532
  4. Step 4: Simplify right side
    438,084x = 903,511,083,024
  5. Step 5: Solve for x
    x = 903,511,083,024/438,084
  6. Step 6: Final answer
    x = 2,062,415.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.