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Finding the Third Proportional to 375,098 and 884,912

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Solution

The third proportional to 375,098 and 884,912 is: 2,087,639.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,098 : 884,912 = 884,912 : x
  2. Step 2: Convert to fraction form
    375,098/884,912 = 884,912/x
  3. Step 3: Cross multiply
    375,098x = 884,912 × 884,912
  4. Step 4: Simplify right side
    375,098x = 783,069,247,744
  5. Step 5: Solve for x
    x = 783,069,247,744/375,098
  6. Step 6: Final answer
    x = 2,087,639.09

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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.