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Finding the Third Proportional to 465,165.21 and 997,635.14

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Solution

The third proportional to 465,165.21 and 997,635.14 is: 2,139,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,165.21 : 997,635.14 = 997,635.14 : x
  2. Step 2: Convert to fraction form
    465,165.21/997,635.14 = 997,635.14/x
  3. Step 3: Cross multiply
    465,165.21x = 997,635.14 × 997,635.14
  4. Step 4: Simplify right side
    465,165.21x = 995,275,873,809.86
  5. Step 5: Solve for x
    x = 995,275,873,809.86/465,165.21
  6. Step 6: Final answer
    x = 2,139,618.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.