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Finding the Third Proportional to 450,654 and 978,338

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Solution

The third proportional to 450,654 and 978,338 is: 2,123,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,654 : 978,338 = 978,338 : x
  2. Step 2: Convert to fraction form
    450,654/978,338 = 978,338/x
  3. Step 3: Cross multiply
    450,654x = 978,338 × 978,338
  4. Step 4: Simplify right side
    450,654x = 957,145,242,244
  5. Step 5: Solve for x
    x = 957,145,242,244/450,654
  6. Step 6: Final answer
    x = 2,123,902.69

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