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Finding the Third Proportional to 1,302,974 and 1,993,210

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Solution

The third proportional to 1,302,974 and 1,993,210 is: 3,049,090.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,974 : 1,993,210 = 1,993,210 : x
  2. Step 2: Convert to fraction form
    1,302,974/1,993,210 = 1,993,210/x
  3. Step 3: Cross multiply
    1,302,974x = 1,993,210 × 1,993,210
  4. Step 4: Simplify right side
    1,302,974x = 3,972,886,104,100
  5. Step 5: Solve for x
    x = 3,972,886,104,100/1,302,974
  6. Step 6: Final answer
    x = 3,049,090.85

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.