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Finding the Third Proportional to 408,070 and 894,852

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Solution

The third proportional to 408,070 and 894,852 is: 1,962,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,070 : 894,852 = 894,852 : x
  2. Step 2: Convert to fraction form
    408,070/894,852 = 894,852/x
  3. Step 3: Cross multiply
    408,070x = 894,852 × 894,852
  4. Step 4: Simplify right side
    408,070x = 800,760,101,904
  5. Step 5: Solve for x
    x = 800,760,101,904/408,070
  6. Step 6: Final answer
    x = 1,962,310.64

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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.