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Finding the Third Proportional to 449,330 and 978,008

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Solution

The third proportional to 449,330 and 978,008 is: 2,128,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,330 : 978,008 = 978,008 : x
  2. Step 2: Convert to fraction form
    449,330/978,008 = 978,008/x
  3. Step 3: Cross multiply
    449,330x = 978,008 × 978,008
  4. Step 4: Simplify right side
    449,330x = 956,499,648,064
  5. Step 5: Solve for x
    x = 956,499,648,064/449,330
  6. Step 6: Final answer
    x = 2,128,724.21

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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.