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Finding the Third Proportional to 446,664 and 973,644

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Solution

The third proportional to 446,664 and 973,644 is: 2,122,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,664 : 973,644 = 973,644 : x
  2. Step 2: Convert to fraction form
    446,664/973,644 = 973,644/x
  3. Step 3: Cross multiply
    446,664x = 973,644 × 973,644
  4. Step 4: Simplify right side
    446,664x = 947,982,638,736
  5. Step 5: Solve for x
    x = 947,982,638,736/446,664
  6. Step 6: Final answer
    x = 2,122,361.86

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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.