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Finding the Third Proportional to 609,633 and 949,350

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Solution

The third proportional to 609,633 and 949,350 is: 1,478,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,633 : 949,350 = 949,350 : x
  2. Step 2: Convert to fraction form
    609,633/949,350 = 949,350/x
  3. Step 3: Cross multiply
    609,633x = 949,350 × 949,350
  4. Step 4: Simplify right side
    609,633x = 901,265,422,500
  5. Step 5: Solve for x
    x = 901,265,422,500/609,633
  6. Step 6: Final answer
    x = 1,478,373.75

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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.