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Finding the Third Proportional to 1,602,188 and 3,431,824

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Solution

The third proportional to 1,602,188 and 3,431,824 is: 7,350,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,188 : 3,431,824 = 3,431,824 : x
  2. Step 2: Convert to fraction form
    1,602,188/3,431,824 = 3,431,824/x
  3. Step 3: Cross multiply
    1,602,188x = 3,431,824 × 3,431,824
  4. Step 4: Simplify right side
    1,602,188x = 11,777,415,966,976
  5. Step 5: Solve for x
    x = 11,777,415,966,976/1,602,188
  6. Step 6: Final answer
    x = 7,350,832.72

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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.