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Finding the Third Proportional to 442,153 and 954,903

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Solution

The third proportional to 442,153 and 954,903 is: 2,062,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,153 : 954,903 = 954,903 : x
  2. Step 2: Convert to fraction form
    442,153/954,903 = 954,903/x
  3. Step 3: Cross multiply
    442,153x = 954,903 × 954,903
  4. Step 4: Simplify right side
    442,153x = 911,839,739,409
  5. Step 5: Solve for x
    x = 911,839,739,409/442,153
  6. Step 6: Final answer
    x = 2,062,271.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.