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Finding the Third Proportional to 3,403,134 and 5,272,016.63

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Solution

The third proportional to 3,403,134 and 5,272,016.63 is: 8,167,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403,134 : 5,272,016.63 = 5,272,016.63 : x
  2. Step 2: Convert to fraction form
    3,403,134/5,272,016.63 = 5,272,016.63/x
  3. Step 3: Cross multiply
    3,403,134x = 5,272,016.63 × 5,272,016.63
  4. Step 4: Simplify right side
    3,403,134x = 27,794,159,294,276.39
  5. Step 5: Solve for x
    x = 27,794,159,294,276.39/3,403,134
  6. Step 6: Final answer
    x = 8,167,224.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.