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Finding the Third Proportional to 447,501 and 978,290

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Solution

The third proportional to 447,501 and 978,290 is: 2,138,657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,501 : 978,290 = 978,290 : x
  2. Step 2: Convert to fraction form
    447,501/978,290 = 978,290/x
  3. Step 3: Cross multiply
    447,501x = 978,290 × 978,290
  4. Step 4: Simplify right side
    447,501x = 957,051,324,100
  5. Step 5: Solve for x
    x = 957,051,324,100/447,501
  6. Step 6: Final answer
    x = 2,138,657.40

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