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Finding the Third Proportional to 969,219 and 1,986,798

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Solution

The third proportional to 969,219 and 1,986,798 is: 4,072,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,219 : 1,986,798 = 1,986,798 : x
  2. Step 2: Convert to fraction form
    969,219/1,986,798 = 1,986,798/x
  3. Step 3: Cross multiply
    969,219x = 1,986,798 × 1,986,798
  4. Step 4: Simplify right side
    969,219x = 3,947,366,292,804
  5. Step 5: Solve for x
    x = 3,947,366,292,804/969,219
  6. Step 6: Final answer
    x = 4,072,728.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.