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Finding the Third Proportional to 919,422 and 1,427,247

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Solution

The third proportional to 919,422 and 1,427,247 is: 2,215,559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,422 : 1,427,247 = 1,427,247 : x
  2. Step 2: Convert to fraction form
    919,422/1,427,247 = 1,427,247/x
  3. Step 3: Cross multiply
    919,422x = 1,427,247 × 1,427,247
  4. Step 4: Simplify right side
    919,422x = 2,037,033,999,009
  5. Step 5: Solve for x
    x = 2,037,033,999,009/919,422
  6. Step 6: Final answer
    x = 2,215,559.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.