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Finding the Third Proportional to 969,576 and 2,264,532

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Solution

The third proportional to 969,576 and 2,264,532 is: 5,289,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,576 : 2,264,532 = 2,264,532 : x
  2. Step 2: Convert to fraction form
    969,576/2,264,532 = 2,264,532/x
  3. Step 3: Cross multiply
    969,576x = 2,264,532 × 2,264,532
  4. Step 4: Simplify right side
    969,576x = 5,128,105,179,024
  5. Step 5: Solve for x
    x = 5,128,105,179,024/969,576
  6. Step 6: Final answer
    x = 5,289,018.27

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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.