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Finding the Third Proportional to 2,138,433 and 2,826,624

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Solution

The third proportional to 2,138,433 and 2,826,624 is: 3,736,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,433 : 2,826,624 = 2,826,624 : x
  2. Step 2: Convert to fraction form
    2,138,433/2,826,624 = 2,826,624/x
  3. Step 3: Cross multiply
    2,138,433x = 2,826,624 × 2,826,624
  4. Step 4: Simplify right side
    2,138,433x = 7,989,803,237,376
  5. Step 5: Solve for x
    x = 7,989,803,237,376/2,138,433
  6. Step 6: Final answer
    x = 3,736,288.79

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.