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Finding the Third Proportional to 418,512 and 894,480

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Solution

The third proportional to 418,512 and 894,480 is: 1,911,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,512 : 894,480 = 894,480 : x
  2. Step 2: Convert to fraction form
    418,512/894,480 = 894,480/x
  3. Step 3: Cross multiply
    418,512x = 894,480 × 894,480
  4. Step 4: Simplify right side
    418,512x = 800,094,470,400
  5. Step 5: Solve for x
    x = 800,094,470,400/418,512
  6. Step 6: Final answer
    x = 1,911,759.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.