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Finding the Third Proportional to 1,346,500 and 2,023,206

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Solution

The third proportional to 1,346,500 and 2,023,206 is: 3,040,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,500 : 2,023,206 = 2,023,206 : x
  2. Step 2: Convert to fraction form
    1,346,500/2,023,206 = 2,023,206/x
  3. Step 3: Cross multiply
    1,346,500x = 2,023,206 × 2,023,206
  4. Step 4: Simplify right side
    1,346,500x = 4,093,362,518,436
  5. Step 5: Solve for x
    x = 4,093,362,518,436/1,346,500
  6. Step 6: Final answer
    x = 3,040,001.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.