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Finding the Third Proportional to 642,192.05 and 1,411,503.47

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Solution

The third proportional to 642,192.05 and 1,411,503.47 is: 3,102,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,192.05 : 1,411,503.47 = 1,411,503.47 : x
  2. Step 2: Convert to fraction form
    642,192.05/1,411,503.47 = 1,411,503.47/x
  3. Step 3: Cross multiply
    642,192.05x = 1,411,503.47 × 1,411,503.47
  4. Step 4: Simplify right side
    642,192.05x = 1,992,342,042,293.28
  5. Step 5: Solve for x
    x = 1,992,342,042,293.28/642,192.05
  6. Step 6: Final answer
    x = 3,102,408.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.