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Finding the Third Proportional to 1,738,590 and 2,659,566

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Solution

The third proportional to 1,738,590 and 2,659,566 is: 4,068,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,590 : 2,659,566 = 2,659,566 : x
  2. Step 2: Convert to fraction form
    1,738,590/2,659,566 = 2,659,566/x
  3. Step 3: Cross multiply
    1,738,590x = 2,659,566 × 2,659,566
  4. Step 4: Simplify right side
    1,738,590x = 7,073,291,308,356
  5. Step 5: Solve for x
    x = 7,073,291,308,356/1,738,590
  6. Step 6: Final answer
    x = 4,068,406.76

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Why These Related Problems?

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