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Finding the Third Proportional to 1,607,296 and 2,431,664

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Solution

The third proportional to 1,607,296 and 2,431,664 is: 3,678,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607,296 : 2,431,664 = 2,431,664 : x
  2. Step 2: Convert to fraction form
    1,607,296/2,431,664 = 2,431,664/x
  3. Step 3: Cross multiply
    1,607,296x = 2,431,664 × 2,431,664
  4. Step 4: Simplify right side
    1,607,296x = 5,912,989,808,896
  5. Step 5: Solve for x
    x = 5,912,989,808,896/1,607,296
  6. Step 6: Final answer
    x = 3,678,843.11

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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.