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Finding the Third Proportional to 1,431,642 and 3,087,456

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Solution

The third proportional to 1,431,642 and 3,087,456 is: 6,658,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,642 : 3,087,456 = 3,087,456 : x
  2. Step 2: Convert to fraction form
    1,431,642/3,087,456 = 3,087,456/x
  3. Step 3: Cross multiply
    1,431,642x = 3,087,456 × 3,087,456
  4. Step 4: Simplify right side
    1,431,642x = 9,532,384,551,936
  5. Step 5: Solve for x
    x = 9,532,384,551,936/1,431,642
  6. Step 6: Final answer
    x = 6,658,357.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.