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Finding the Third Proportional to 446,820 and 972,266

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Solution

The third proportional to 446,820 and 972,266 is: 2,115,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,820 : 972,266 = 972,266 : x
  2. Step 2: Convert to fraction form
    446,820/972,266 = 972,266/x
  3. Step 3: Cross multiply
    446,820x = 972,266 × 972,266
  4. Step 4: Simplify right side
    446,820x = 945,301,174,756
  5. Step 5: Solve for x
    x = 945,301,174,756/446,820
  6. Step 6: Final answer
    x = 2,115,619.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.