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Finding the Third Proportional to 1,432,640 and 2,167,401

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Solution

The third proportional to 1,432,640 and 2,167,401 is: 3,279,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432,640 : 2,167,401 = 2,167,401 : x
  2. Step 2: Convert to fraction form
    1,432,640/2,167,401 = 2,167,401/x
  3. Step 3: Cross multiply
    1,432,640x = 2,167,401 × 2,167,401
  4. Step 4: Simplify right side
    1,432,640x = 4,697,627,094,801
  5. Step 5: Solve for x
    x = 4,697,627,094,801/1,432,640
  6. Step 6: Final answer
    x = 3,279,000.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.