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Finding the Third Proportional to 442,953 and 967,101.75

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Solution

The third proportional to 442,953 and 967,101.75 is: 2,111,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,953 : 967,101.75 = 967,101.75 : x
  2. Step 2: Convert to fraction form
    442,953/967,101.75 = 967,101.75/x
  3. Step 3: Cross multiply
    442,953x = 967,101.75 × 967,101.75
  4. Step 4: Simplify right side
    442,953x = 935,285,794,853.06
  5. Step 5: Solve for x
    x = 935,285,794,853.06/442,953
  6. Step 6: Final answer
    x = 2,111,478.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.