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Finding the Third Proportional to 469,544 and 978,000

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Solution

The third proportional to 469,544 and 978,000 is: 2,037,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,544 : 978,000 = 978,000 : x
  2. Step 2: Convert to fraction form
    469,544/978,000 = 978,000/x
  3. Step 3: Cross multiply
    469,544x = 978,000 × 978,000
  4. Step 4: Simplify right side
    469,544x = 956,484,000,000
  5. Step 5: Solve for x
    x = 956,484,000,000/469,544
  6. Step 6: Final answer
    x = 2,037,048.71

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.