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Finding the Third Proportional to 455,006 and 978,700

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Solution

The third proportional to 455,006 and 978,700 is: 2,105,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,006 : 978,700 = 978,700 : x
  2. Step 2: Convert to fraction form
    455,006/978,700 = 978,700/x
  3. Step 3: Cross multiply
    455,006x = 978,700 × 978,700
  4. Step 4: Simplify right side
    455,006x = 957,853,690,000
  5. Step 5: Solve for x
    x = 957,853,690,000/455,006
  6. Step 6: Final answer
    x = 2,105,145.18

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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.