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Finding the Third Proportional to 1,741,449 and 2,689,811.50

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Solution

The third proportional to 1,741,449 and 2,689,811.50 is: 4,154,635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,449 : 2,689,811.50 = 2,689,811.50 : x
  2. Step 2: Convert to fraction form
    1,741,449/2,689,811.50 = 2,689,811.50/x
  3. Step 3: Cross multiply
    1,741,449x = 2,689,811.50 × 2,689,811.50
  4. Step 4: Simplify right side
    1,741,449x = 7,235,085,905,532.25
  5. Step 5: Solve for x
    x = 7,235,085,905,532.25/1,741,449
  6. Step 6: Final answer
    x = 4,154,635.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.