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Finding the Third Proportional to 375,096 and 884,907

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Solution

The third proportional to 375,096 and 884,907 is: 2,087,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,096 : 884,907 = 884,907 : x
  2. Step 2: Convert to fraction form
    375,096/884,907 = 884,907/x
  3. Step 3: Cross multiply
    375,096x = 884,907 × 884,907
  4. Step 4: Simplify right side
    375,096x = 783,060,398,649
  5. Step 5: Solve for x
    x = 783,060,398,649/375,096
  6. Step 6: Final answer
    x = 2,087,626.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.