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Finding the Third Proportional to 446,632 and 973,568

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Solution

The third proportional to 446,632 and 973,568 is: 2,122,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,632 : 973,568 = 973,568 : x
  2. Step 2: Convert to fraction form
    446,632/973,568 = 973,568/x
  3. Step 3: Cross multiply
    446,632x = 973,568 × 973,568
  4. Step 4: Simplify right side
    446,632x = 947,834,650,624
  5. Step 5: Solve for x
    x = 947,834,650,624/446,632
  6. Step 6: Final answer
    x = 2,122,182.58

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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.