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Finding the Third Proportional to 449,392 and 978,152

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Solution

The third proportional to 449,392 and 978,152 is: 2,129,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,392 : 978,152 = 978,152 : x
  2. Step 2: Convert to fraction form
    449,392/978,152 = 978,152/x
  3. Step 3: Cross multiply
    449,392x = 978,152 × 978,152
  4. Step 4: Simplify right side
    449,392x = 956,781,335,104
  5. Step 5: Solve for x
    x = 956,781,335,104/449,392
  6. Step 6: Final answer
    x = 2,129,057.34

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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.