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Finding the Third Proportional to 919,166 and 1,985,912

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Solution

The third proportional to 919,166 and 1,985,912 is: 4,290,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,166 : 1,985,912 = 1,985,912 : x
  2. Step 2: Convert to fraction form
    919,166/1,985,912 = 1,985,912/x
  3. Step 3: Cross multiply
    919,166x = 1,985,912 × 1,985,912
  4. Step 4: Simplify right side
    919,166x = 3,943,846,471,744
  5. Step 5: Solve for x
    x = 3,943,846,471,744/919,166
  6. Step 6: Final answer
    x = 4,290,679.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.