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Finding the Third Proportional to 1,022,223 and 2,241,276

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Solution

The third proportional to 1,022,223 and 2,241,276 is: 4,914,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,223 : 2,241,276 = 2,241,276 : x
  2. Step 2: Convert to fraction form
    1,022,223/2,241,276 = 2,241,276/x
  3. Step 3: Cross multiply
    1,022,223x = 2,241,276 × 2,241,276
  4. Step 4: Simplify right side
    1,022,223x = 5,023,318,108,176
  5. Step 5: Solve for x
    x = 5,023,318,108,176/1,022,223
  6. Step 6: Final answer
    x = 4,914,111.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.