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Finding the Third Proportional to 969,266 and 2,264,045

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Solution

The third proportional to 969,266 and 2,264,045 is: 5,288,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,266 : 2,264,045 = 2,264,045 : x
  2. Step 2: Convert to fraction form
    969,266/2,264,045 = 2,264,045/x
  3. Step 3: Cross multiply
    969,266x = 2,264,045 × 2,264,045
  4. Step 4: Simplify right side
    969,266x = 5,125,899,762,025
  5. Step 5: Solve for x
    x = 5,125,899,762,025/969,266
  6. Step 6: Final answer
    x = 5,288,434.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.