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Finding the Third Proportional to 403,564 and 885,852

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Solution

The third proportional to 403,564 and 885,852 is: 1,944,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,564 : 885,852 = 885,852 : x
  2. Step 2: Convert to fraction form
    403,564/885,852 = 885,852/x
  3. Step 3: Cross multiply
    403,564x = 885,852 × 885,852
  4. Step 4: Simplify right side
    403,564x = 784,733,765,904
  5. Step 5: Solve for x
    x = 784,733,765,904/403,564
  6. Step 6: Final answer
    x = 1,944,508.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.