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Finding the Third Proportional to 446,840 and 973,972

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Solution

The third proportional to 446,840 and 973,972 is: 2,122,955.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,840 : 973,972 = 973,972 : x
  2. Step 2: Convert to fraction form
    446,840/973,972 = 973,972/x
  3. Step 3: Cross multiply
    446,840x = 973,972 × 973,972
  4. Step 4: Simplify right side
    446,840x = 948,621,456,784
  5. Step 5: Solve for x
    x = 948,621,456,784/446,840
  6. Step 6: Final answer
    x = 2,122,955.55

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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.