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Finding the Third Proportional to 416,717 and 973,721

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Solution

The third proportional to 416,717 and 973,721 is: 2,275,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,717 : 973,721 = 973,721 : x
  2. Step 2: Convert to fraction form
    416,717/973,721 = 973,721/x
  3. Step 3: Cross multiply
    416,717x = 973,721 × 973,721
  4. Step 4: Simplify right side
    416,717x = 948,132,585,841
  5. Step 5: Solve for x
    x = 948,132,585,841/416,717
  6. Step 6: Final answer
    x = 2,275,243.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.