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Finding the Third Proportional to 1,399,178 and 2,966,512

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Solution

The third proportional to 1,399,178 and 2,966,512 is: 6,289,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399,178 : 2,966,512 = 2,966,512 : x
  2. Step 2: Convert to fraction form
    1,399,178/2,966,512 = 2,966,512/x
  3. Step 3: Cross multiply
    1,399,178x = 2,966,512 × 2,966,512
  4. Step 4: Simplify right side
    1,399,178x = 8,800,193,446,144
  5. Step 5: Solve for x
    x = 8,800,193,446,144/1,399,178
  6. Step 6: Final answer
    x = 6,289,545.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.