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Finding the Third Proportional to 617,976 and 954,963

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Solution

The third proportional to 617,976 and 954,963 is: 1,475,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,976 : 954,963 = 954,963 : x
  2. Step 2: Convert to fraction form
    617,976/954,963 = 954,963/x
  3. Step 3: Cross multiply
    617,976x = 954,963 × 954,963
  4. Step 4: Simplify right side
    617,976x = 911,954,331,369
  5. Step 5: Solve for x
    x = 911,954,331,369/617,976
  6. Step 6: Final answer
    x = 1,475,711.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.