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Finding the Third Proportional to 423,036 and 929,799

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Solution

The third proportional to 423,036 and 929,799 is: 2,043,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,036 : 929,799 = 929,799 : x
  2. Step 2: Convert to fraction form
    423,036/929,799 = 929,799/x
  3. Step 3: Cross multiply
    423,036x = 929,799 × 929,799
  4. Step 4: Simplify right side
    423,036x = 864,526,180,401
  5. Step 5: Solve for x
    x = 864,526,180,401/423,036
  6. Step 6: Final answer
    x = 2,043,623.19

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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.