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Finding the Third Proportional to 449,376 and 978,104

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Solution

The third proportional to 449,376 and 978,104 is: 2,128,924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,376 : 978,104 = 978,104 : x
  2. Step 2: Convert to fraction form
    449,376/978,104 = 978,104/x
  3. Step 3: Cross multiply
    449,376x = 978,104 × 978,104
  4. Step 4: Simplify right side
    449,376x = 956,687,434,816
  5. Step 5: Solve for x
    x = 956,687,434,816/449,376
  6. Step 6: Final answer
    x = 2,128,924.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.