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Finding the Third Proportional to 451,870 and 978,134

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Solution

The third proportional to 451,870 and 978,134 is: 2,117,303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,870 : 978,134 = 978,134 : x
  2. Step 2: Convert to fraction form
    451,870/978,134 = 978,134/x
  3. Step 3: Cross multiply
    451,870x = 978,134 × 978,134
  4. Step 4: Simplify right side
    451,870x = 956,746,121,956
  5. Step 5: Solve for x
    x = 956,746,121,956/451,870
  6. Step 6: Final answer
    x = 2,117,303.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.