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Finding the Third Proportional to 436,728 and 954,924

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Solution

The third proportional to 436,728 and 954,924 is: 2,087,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,728 : 954,924 = 954,924 : x
  2. Step 2: Convert to fraction form
    436,728/954,924 = 954,924/x
  3. Step 3: Cross multiply
    436,728x = 954,924 × 954,924
  4. Step 4: Simplify right side
    436,728x = 911,879,845,776
  5. Step 5: Solve for x
    x = 911,879,845,776/436,728
  6. Step 6: Final answer
    x = 2,087,981.18

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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.