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Finding the Third Proportional to 438,774 and 949,512

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Solution

The third proportional to 438,774 and 949,512 is: 2,054,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,774 : 949,512 = 949,512 : x
  2. Step 2: Convert to fraction form
    438,774/949,512 = 949,512/x
  3. Step 3: Cross multiply
    438,774x = 949,512 × 949,512
  4. Step 4: Simplify right side
    438,774x = 901,573,038,144
  5. Step 5: Solve for x
    x = 901,573,038,144/438,774
  6. Step 6: Final answer
    x = 2,054,754.93

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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.