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Finding the Third Proportional to 446,592 and 966,999

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Solution

The third proportional to 446,592 and 966,999 is: 2,093,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,592 : 966,999 = 966,999 : x
  2. Step 2: Convert to fraction form
    446,592/966,999 = 966,999/x
  3. Step 3: Cross multiply
    446,592x = 966,999 × 966,999
  4. Step 4: Simplify right side
    446,592x = 935,087,066,001
  5. Step 5: Solve for x
    x = 935,087,066,001/446,592
  6. Step 6: Final answer
    x = 2,093,828.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.