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Finding the Third Proportional to 794,422.69 and 1,630,697.06

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Solution

The third proportional to 794,422.69 and 1,630,697.06 is: 3,347,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,422.69 : 1,630,697.06 = 1,630,697.06 : x
  2. Step 2: Convert to fraction form
    794,422.69/1,630,697.06 = 1,630,697.06/x
  3. Step 3: Cross multiply
    794,422.69x = 1,630,697.06 × 1,630,697.06
  4. Step 4: Simplify right side
    794,422.69x = 2,659,172,909,646.13
  5. Step 5: Solve for x
    x = 2,659,172,909,646.13/794,422.69
  6. Step 6: Final answer
    x = 3,347,302.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.