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Finding the Third Proportional to 454,320 and 996,120

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Solution

The third proportional to 454,320 and 996,120 is: 2,184,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,320 : 996,120 = 996,120 : x
  2. Step 2: Convert to fraction form
    454,320/996,120 = 996,120/x
  3. Step 3: Cross multiply
    454,320x = 996,120 × 996,120
  4. Step 4: Simplify right side
    454,320x = 992,255,054,400
  5. Step 5: Solve for x
    x = 992,255,054,400/454,320
  6. Step 6: Final answer
    x = 2,184,044.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.