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Finding the Third Proportional to 449,389 and 978,124

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Solution

The third proportional to 449,389 and 978,124 is: 2,128,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,389 : 978,124 = 978,124 : x
  2. Step 2: Convert to fraction form
    449,389/978,124 = 978,124/x
  3. Step 3: Cross multiply
    449,389x = 978,124 × 978,124
  4. Step 4: Simplify right side
    449,389x = 956,726,559,376
  5. Step 5: Solve for x
    x = 956,726,559,376/449,389
  6. Step 6: Final answer
    x = 2,128,949.66

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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.