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Finding the Third Proportional to 457,827.19 and 991,926

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Solution

The third proportional to 457,827.19 and 991,926 is: 2,149,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,827.19 : 991,926 = 991,926 : x
  2. Step 2: Convert to fraction form
    457,827.19/991,926 = 991,926/x
  3. Step 3: Cross multiply
    457,827.19x = 991,926 × 991,926
  4. Step 4: Simplify right side
    457,827.19x = 983,917,189,476
  5. Step 5: Solve for x
    x = 983,917,189,476/457,827.19
  6. Step 6: Final answer
    x = 2,149,101.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.