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Finding the Third Proportional to 469,268 and 1,031,845

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Solution

The third proportional to 469,268 and 1,031,845 is: 2,268,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,268 : 1,031,845 = 1,031,845 : x
  2. Step 2: Convert to fraction form
    469,268/1,031,845 = 1,031,845/x
  3. Step 3: Cross multiply
    469,268x = 1,031,845 × 1,031,845
  4. Step 4: Simplify right side
    469,268x = 1,064,704,104,025
  5. Step 5: Solve for x
    x = 1,064,704,104,025/469,268
  6. Step 6: Final answer
    x = 2,268,861.51

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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.