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Finding the Third Proportional to 455,606 and 998,968

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Solution

The third proportional to 455,606 and 998,968 is: 2,190,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,606 : 998,968 = 998,968 : x
  2. Step 2: Convert to fraction form
    455,606/998,968 = 998,968/x
  3. Step 3: Cross multiply
    455,606x = 998,968 × 998,968
  4. Step 4: Simplify right side
    455,606x = 997,937,065,024
  5. Step 5: Solve for x
    x = 997,937,065,024/455,606
  6. Step 6: Final answer
    x = 2,190,351.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.