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Finding the Third Proportional to 1,083,945 and 1,610,196

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Solution

The third proportional to 1,083,945 and 1,610,196 is: 2,391,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,945 : 1,610,196 = 1,610,196 : x
  2. Step 2: Convert to fraction form
    1,083,945/1,610,196 = 1,610,196/x
  3. Step 3: Cross multiply
    1,083,945x = 1,610,196 × 1,610,196
  4. Step 4: Simplify right side
    1,083,945x = 2,592,731,158,416
  5. Step 5: Solve for x
    x = 2,592,731,158,416/1,083,945
  6. Step 6: Final answer
    x = 2,391,939.77

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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.