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Finding the Third Proportional to 965,788.31 and 2,097,651.94

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Solution

The third proportional to 965,788.31 and 2,097,651.94 is: 4,556,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,788.31 : 2,097,651.94 = 2,097,651.94 : x
  2. Step 2: Convert to fraction form
    965,788.31/2,097,651.94 = 2,097,651.94/x
  3. Step 3: Cross multiply
    965,788.31x = 2,097,651.94 × 2,097,651.94
  4. Step 4: Simplify right side
    965,788.31x = 4,400,143,650,897.50
  5. Step 5: Solve for x
    x = 4,400,143,650,897.50/965,788.31
  6. Step 6: Final answer
    x = 4,556,012.53

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