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Finding the Third Proportional to 809,824 and 1,771,733

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Solution

The third proportional to 809,824 and 1,771,733 is: 3,876,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,824 : 1,771,733 = 1,771,733 : x
  2. Step 2: Convert to fraction form
    809,824/1,771,733 = 1,771,733/x
  3. Step 3: Cross multiply
    809,824x = 1,771,733 × 1,771,733
  4. Step 4: Simplify right side
    809,824x = 3,139,037,823,289
  5. Step 5: Solve for x
    x = 3,139,037,823,289/809,824
  6. Step 6: Final answer
    x = 3,876,197.57

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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.