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Finding the Third Proportional to 2,023,193 and 4,370,251

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Solution

The third proportional to 2,023,193 and 4,370,251 is: 9,440,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,193 : 4,370,251 = 4,370,251 : x
  2. Step 2: Convert to fraction form
    2,023,193/4,370,251 = 4,370,251/x
  3. Step 3: Cross multiply
    2,023,193x = 4,370,251 × 4,370,251
  4. Step 4: Simplify right side
    2,023,193x = 19,099,093,803,001
  5. Step 5: Solve for x
    x = 19,099,093,803,001/2,023,193
  6. Step 6: Final answer
    x = 9,440,075.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.