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Finding the Third Proportional to 449,334 and 978,014

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Solution

The third proportional to 449,334 and 978,014 is: 2,128,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,334 : 978,014 = 978,014 : x
  2. Step 2: Convert to fraction form
    449,334/978,014 = 978,014/x
  3. Step 3: Cross multiply
    449,334x = 978,014 × 978,014
  4. Step 4: Simplify right side
    449,334x = 956,511,384,196
  5. Step 5: Solve for x
    x = 956,511,384,196/449,334
  6. Step 6: Final answer
    x = 2,128,731.38

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