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Finding the Third Proportional to 1,642,456 and 3,511,898

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Solution

The third proportional to 1,642,456 and 3,511,898 is: 7,509,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,456 : 3,511,898 = 3,511,898 : x
  2. Step 2: Convert to fraction form
    1,642,456/3,511,898 = 3,511,898/x
  3. Step 3: Cross multiply
    1,642,456x = 3,511,898 × 3,511,898
  4. Step 4: Simplify right side
    1,642,456x = 12,333,427,562,404
  5. Step 5: Solve for x
    x = 12,333,427,562,404/1,642,456
  6. Step 6: Final answer
    x = 7,509,137.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.