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Finding the Third Proportional to 969,504 and 1,986,024

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Solution

The third proportional to 969,504 and 1,986,024 is: 4,068,360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,504 : 1,986,024 = 1,986,024 : x
  2. Step 2: Convert to fraction form
    969,504/1,986,024 = 1,986,024/x
  3. Step 3: Cross multiply
    969,504x = 1,986,024 × 1,986,024
  4. Step 4: Simplify right side
    969,504x = 3,944,291,328,576
  5. Step 5: Solve for x
    x = 3,944,291,328,576/969,504
  6. Step 6: Final answer
    x = 4,068,360.04

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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.