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Finding the Third Proportional to 408,060 and 894,832

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Solution

The third proportional to 408,060 and 894,832 is: 1,962,271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,060 : 894,832 = 894,832 : x
  2. Step 2: Convert to fraction form
    408,060/894,832 = 894,832/x
  3. Step 3: Cross multiply
    408,060x = 894,832 × 894,832
  4. Step 4: Simplify right side
    408,060x = 800,724,308,224
  5. Step 5: Solve for x
    x = 800,724,308,224/408,060
  6. Step 6: Final answer
    x = 1,962,271.01

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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.