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Finding the Third Proportional to 1,098,018 and 1,640,562

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Solution

The third proportional to 1,098,018 and 1,640,562 is: 2,451,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,018 : 1,640,562 = 1,640,562 : x
  2. Step 2: Convert to fraction form
    1,098,018/1,640,562 = 1,640,562/x
  3. Step 3: Cross multiply
    1,098,018x = 1,640,562 × 1,640,562
  4. Step 4: Simplify right side
    1,098,018x = 2,691,443,675,844
  5. Step 5: Solve for x
    x = 2,691,443,675,844/1,098,018
  6. Step 6: Final answer
    x = 2,451,183.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.