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Finding the Third Proportional to 1,040,138 and 2,235,470

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Solution

The third proportional to 1,040,138 and 2,235,470 is: 4,804,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,138 : 2,235,470 = 2,235,470 : x
  2. Step 2: Convert to fraction form
    1,040,138/2,235,470 = 2,235,470/x
  3. Step 3: Cross multiply
    1,040,138x = 2,235,470 × 2,235,470
  4. Step 4: Simplify right side
    1,040,138x = 4,997,326,120,900
  5. Step 5: Solve for x
    x = 4,997,326,120,900/1,040,138
  6. Step 6: Final answer
    x = 4,804,483.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.