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Finding the Third Proportional to 450,646 and 978,322

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Solution

The third proportional to 450,646 and 978,322 is: 2,123,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,646 : 978,322 = 978,322 : x
  2. Step 2: Convert to fraction form
    450,646/978,322 = 978,322/x
  3. Step 3: Cross multiply
    450,646x = 978,322 × 978,322
  4. Step 4: Simplify right side
    450,646x = 957,113,935,684
  5. Step 5: Solve for x
    x = 957,113,935,684/450,646
  6. Step 6: Final answer
    x = 2,123,870.92

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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.