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Finding the Third Proportional to 969,272 and 2,264,060

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Solution

The third proportional to 969,272 and 2,264,060 is: 5,288,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,272 : 2,264,060 = 2,264,060 : x
  2. Step 2: Convert to fraction form
    969,272/2,264,060 = 2,264,060/x
  3. Step 3: Cross multiply
    969,272x = 2,264,060 × 2,264,060
  4. Step 4: Simplify right side
    969,272x = 5,125,967,683,600
  5. Step 5: Solve for x
    x = 5,125,967,683,600/969,272
  6. Step 6: Final answer
    x = 5,288,471.85

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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.