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Finding the Third Proportional to 491,655.38 and 1,069,833.94

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Solution

The third proportional to 491,655.38 and 1,069,833.94 is: 2,327,940.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,655.38 : 1,069,833.94 = 1,069,833.94 : x
  2. Step 2: Convert to fraction form
    491,655.38/1,069,833.94 = 1,069,833.94/x
  3. Step 3: Cross multiply
    491,655.38x = 1,069,833.94 × 1,069,833.94
  4. Step 4: Simplify right side
    491,655.38x = 1,144,544,653,826.75
  5. Step 5: Solve for x
    x = 1,144,544,653,826.75/491,655.38
  6. Step 6: Final answer
    x = 2,327,940.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.