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Finding the Third Proportional to 805,114 and 1,722,972

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Solution

The third proportional to 805,114 and 1,722,972 is: 3,687,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,114 : 1,722,972 = 1,722,972 : x
  2. Step 2: Convert to fraction form
    805,114/1,722,972 = 1,722,972/x
  3. Step 3: Cross multiply
    805,114x = 1,722,972 × 1,722,972
  4. Step 4: Simplify right side
    805,114x = 2,968,632,512,784
  5. Step 5: Solve for x
    x = 2,968,632,512,784/805,114
  6. Step 6: Final answer
    x = 3,687,220.09

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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.