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Finding the Third Proportional to 805,024 and 1,722,770

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Solution

The third proportional to 805,024 and 1,722,770 is: 3,686,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,024 : 1,722,770 = 1,722,770 : x
  2. Step 2: Convert to fraction form
    805,024/1,722,770 = 1,722,770/x
  3. Step 3: Cross multiply
    805,024x = 1,722,770 × 1,722,770
  4. Step 4: Simplify right side
    805,024x = 2,967,936,472,900
  5. Step 5: Solve for x
    x = 2,967,936,472,900/805,024
  6. Step 6: Final answer
    x = 3,686,767.69

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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.