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Finding the Third Proportional to 975,832 and 2,114,564

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Solution

The third proportional to 975,832 and 2,114,564 is: 4,582,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,832 : 2,114,564 = 2,114,564 : x
  2. Step 2: Convert to fraction form
    975,832/2,114,564 = 2,114,564/x
  3. Step 3: Cross multiply
    975,832x = 2,114,564 × 2,114,564
  4. Step 4: Simplify right side
    975,832x = 4,471,380,910,096
  5. Step 5: Solve for x
    x = 4,471,380,910,096/975,832
  6. Step 6: Final answer
    x = 4,582,121.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.