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Finding the Third Proportional to 642,786 and 1,411,665

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Solution

The third proportional to 642,786 and 1,411,665 is: 3,100,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,786 : 1,411,665 = 1,411,665 : x
  2. Step 2: Convert to fraction form
    642,786/1,411,665 = 1,411,665/x
  3. Step 3: Cross multiply
    642,786x = 1,411,665 × 1,411,665
  4. Step 4: Simplify right side
    642,786x = 1,992,798,072,225
  5. Step 5: Solve for x
    x = 1,992,798,072,225/642,786
  6. Step 6: Final answer
    x = 3,100,251.21

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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.