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Finding the Third Proportional to 965,817 and 2,097,843.75

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Solution

The third proportional to 965,817 and 2,097,843.75 is: 4,556,710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,817 : 2,097,843.75 = 2,097,843.75 : x
  2. Step 2: Convert to fraction form
    965,817/2,097,843.75 = 2,097,843.75/x
  3. Step 3: Cross multiply
    965,817x = 2,097,843.75 × 2,097,843.75
  4. Step 4: Simplify right side
    965,817x = 4,400,948,399,414.06
  5. Step 5: Solve for x
    x = 4,400,948,399,414.06/965,817
  6. Step 6: Final answer
    x = 4,556,710.43

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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.