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Finding the Third Proportional to 755,241 and 1,641,963

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Solution

The third proportional to 755,241 and 1,641,963 is: 3,569,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,241 : 1,641,963 = 1,641,963 : x
  2. Step 2: Convert to fraction form
    755,241/1,641,963 = 1,641,963/x
  3. Step 3: Cross multiply
    755,241x = 1,641,963 × 1,641,963
  4. Step 4: Simplify right side
    755,241x = 2,696,042,493,369
  5. Step 5: Solve for x
    x = 2,696,042,493,369/755,241
  6. Step 6: Final answer
    x = 3,569,777.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.