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Finding the Third Proportional to 450,435 and 978,750

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Solution

The third proportional to 450,435 and 978,750 is: 2,126,725.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,435 : 978,750 = 978,750 : x
  2. Step 2: Convert to fraction form
    450,435/978,750 = 978,750/x
  3. Step 3: Cross multiply
    450,435x = 978,750 × 978,750
  4. Step 4: Simplify right side
    450,435x = 957,951,562,500
  5. Step 5: Solve for x
    x = 957,951,562,500/450,435
  6. Step 6: Final answer
    x = 2,126,725.42

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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.