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Finding the Third Proportional to 449,380 and 978,106

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Solution

The third proportional to 449,380 and 978,106 is: 2,128,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,380 : 978,106 = 978,106 : x
  2. Step 2: Convert to fraction form
    449,380/978,106 = 978,106/x
  3. Step 3: Cross multiply
    449,380x = 978,106 × 978,106
  4. Step 4: Simplify right side
    449,380x = 956,691,347,236
  5. Step 5: Solve for x
    x = 956,691,347,236/449,380
  6. Step 6: Final answer
    x = 2,128,913.94

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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.