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Finding the Third Proportional to 1,687,119.75 and 2,410,879.50

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Solution

The third proportional to 1,687,119.75 and 2,410,879.50 is: 3,445,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,119.75 : 2,410,879.50 = 2,410,879.50 : x
  2. Step 2: Convert to fraction form
    1,687,119.75/2,410,879.50 = 2,410,879.50/x
  3. Step 3: Cross multiply
    1,687,119.75x = 2,410,879.50 × 2,410,879.50
  4. Step 4: Simplify right side
    1,687,119.75x = 5,812,339,963,520.25
  5. Step 5: Solve for x
    x = 5,812,339,963,520.25/1,687,119.75
  6. Step 6: Final answer
    x = 3,445,125.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.