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Finding the Third Proportional to 1,083,782 and 1,610,013

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Solution

The third proportional to 1,083,782 and 1,610,013 is: 2,391,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,782 : 1,610,013 = 1,610,013 : x
  2. Step 2: Convert to fraction form
    1,083,782/1,610,013 = 1,610,013/x
  3. Step 3: Cross multiply
    1,083,782x = 1,610,013 × 1,610,013
  4. Step 4: Simplify right side
    1,083,782x = 2,592,141,860,169
  5. Step 5: Solve for x
    x = 2,592,141,860,169/1,083,782
  6. Step 6: Final answer
    x = 2,391,755.78

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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.