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Finding the Third Proportional to 496,419.75 and 1,071,573.75

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Solution

The third proportional to 496,419.75 and 1,071,573.75 is: 2,313,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,419.75 : 1,071,573.75 = 1,071,573.75 : x
  2. Step 2: Convert to fraction form
    496,419.75/1,071,573.75 = 1,071,573.75/x
  3. Step 3: Cross multiply
    496,419.75x = 1,071,573.75 × 1,071,573.75
  4. Step 4: Simplify right side
    496,419.75x = 1,148,270,301,689.06
  5. Step 5: Solve for x
    x = 1,148,270,301,689.06/496,419.75
  6. Step 6: Final answer
    x = 2,313,103.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.