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Finding the Third Proportional to 446,590.13 and 966,994.88

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Solution

The third proportional to 446,590.13 and 966,994.88 is: 2,093,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,590.13 : 966,994.88 = 966,994.88 : x
  2. Step 2: Convert to fraction form
    446,590.13/966,994.88 = 966,994.88/x
  3. Step 3: Cross multiply
    446,590.13x = 966,994.88 × 966,994.88
  4. Step 4: Simplify right side
    446,590.13x = 935,079,088,276.27
  5. Step 5: Solve for x
    x = 935,079,088,276.27/446,590.13
  6. Step 6: Final answer
    x = 2,093,819.45

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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.