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Finding the Third Proportional to 642,227.63 and 1,411,578

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Solution

The third proportional to 642,227.63 and 1,411,578 is: 3,102,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,227.63 : 1,411,578 = 1,411,578 : x
  2. Step 2: Convert to fraction form
    642,227.63/1,411,578 = 1,411,578/x
  3. Step 3: Cross multiply
    642,227.63x = 1,411,578 × 1,411,578
  4. Step 4: Simplify right side
    642,227.63x = 1,992,552,450,084
  5. Step 5: Solve for x
    x = 1,992,552,450,084/642,227.63
  6. Step 6: Final answer
    x = 3,102,564.22

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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.