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Finding the Third Proportional to 455,023 and 978,735

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Solution

The third proportional to 455,023 and 978,735 is: 2,105,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,023 : 978,735 = 978,735 : x
  2. Step 2: Convert to fraction form
    455,023/978,735 = 978,735/x
  3. Step 3: Cross multiply
    455,023x = 978,735 × 978,735
  4. Step 4: Simplify right side
    455,023x = 957,922,200,225
  5. Step 5: Solve for x
    x = 957,922,200,225/455,023
  6. Step 6: Final answer
    x = 2,105,217.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.