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Finding the Third Proportional to 446,850 and 973,992

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Solution

The third proportional to 446,850 and 973,992 is: 2,122,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,850 : 973,992 = 973,992 : x
  2. Step 2: Convert to fraction form
    446,850/973,992 = 973,992/x
  3. Step 3: Cross multiply
    446,850x = 973,992 × 973,992
  4. Step 4: Simplify right side
    446,850x = 948,660,416,064
  5. Step 5: Solve for x
    x = 948,660,416,064/446,850
  6. Step 6: Final answer
    x = 2,122,995.22

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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.