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Finding the Third Proportional to 919,398 and 1,949,373

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Solution

The third proportional to 919,398 and 1,949,373 is: 4,133,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,398 : 1,949,373 = 1,949,373 : x
  2. Step 2: Convert to fraction form
    919,398/1,949,373 = 1,949,373/x
  3. Step 3: Cross multiply
    919,398x = 1,949,373 × 1,949,373
  4. Step 4: Simplify right side
    919,398x = 3,800,055,093,129
  5. Step 5: Solve for x
    x = 3,800,055,093,129/919,398
  6. Step 6: Final answer
    x = 4,133,199.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.