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Finding the Third Proportional to 446,742 and 973,809

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Solution

The third proportional to 446,742 and 973,809 is: 2,122,710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,742 : 973,809 = 973,809 : x
  2. Step 2: Convert to fraction form
    446,742/973,809 = 973,809/x
  3. Step 3: Cross multiply
    446,742x = 973,809 × 973,809
  4. Step 4: Simplify right side
    446,742x = 948,303,968,481
  5. Step 5: Solve for x
    x = 948,303,968,481/446,742
  6. Step 6: Final answer
    x = 2,122,710.58

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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.