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Finding the Third Proportional to 446,846 and 973,984

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Solution

The third proportional to 446,846 and 973,984 is: 2,122,979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,846 : 973,984 = 973,984 : x
  2. Step 2: Convert to fraction form
    446,846/973,984 = 973,984/x
  3. Step 3: Cross multiply
    446,846x = 973,984 × 973,984
  4. Step 4: Simplify right side
    446,846x = 948,644,832,256
  5. Step 5: Solve for x
    x = 948,644,832,256/446,846
  6. Step 6: Final answer
    x = 2,122,979.35

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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.