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Finding the Third Proportional to 654,966 and 1,431,649.69

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Solution

The third proportional to 654,966 and 1,431,649.69 is: 3,129,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,966 : 1,431,649.69 = 1,431,649.69 : x
  2. Step 2: Convert to fraction form
    654,966/1,431,649.69 = 1,431,649.69/x
  3. Step 3: Cross multiply
    654,966x = 1,431,649.69 × 1,431,649.69
  4. Step 4: Simplify right side
    654,966x = 2,049,620,827,718.85
  5. Step 5: Solve for x
    x = 2,049,620,827,718.85/654,966
  6. Step 6: Final answer
    x = 3,129,354.54

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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.