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Finding the Third Proportional to 1,102,091 and 1,702,245

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Solution

The third proportional to 1,102,091 and 1,702,245 is: 2,629,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,091 : 1,702,245 = 1,702,245 : x
  2. Step 2: Convert to fraction form
    1,102,091/1,702,245 = 1,702,245/x
  3. Step 3: Cross multiply
    1,102,091x = 1,702,245 × 1,702,245
  4. Step 4: Simplify right side
    1,102,091x = 2,897,638,040,025
  5. Step 5: Solve for x
    x = 2,897,638,040,025/1,102,091
  6. Step 6: Final answer
    x = 2,629,218.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.