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Finding the Third Proportional to 609,586 and 949,276

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Solution

The third proportional to 609,586 and 949,276 is: 1,478,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,586 : 949,276 = 949,276 : x
  2. Step 2: Convert to fraction form
    609,586/949,276 = 949,276/x
  3. Step 3: Cross multiply
    609,586x = 949,276 × 949,276
  4. Step 4: Simplify right side
    609,586x = 901,124,924,176
  5. Step 5: Solve for x
    x = 901,124,924,176/609,586
  6. Step 6: Final answer
    x = 1,478,257.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.