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Finding the Third Proportional to 969,598 and 2,083,124

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Solution

The third proportional to 969,598 and 2,083,124 is: 4,475,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,598 : 2,083,124 = 2,083,124 : x
  2. Step 2: Convert to fraction form
    969,598/2,083,124 = 2,083,124/x
  3. Step 3: Cross multiply
    969,598x = 2,083,124 × 2,083,124
  4. Step 4: Simplify right side
    969,598x = 4,339,405,599,376
  5. Step 5: Solve for x
    x = 4,339,405,599,376/969,598
  6. Step 6: Final answer
    x = 4,475,468.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.