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Finding the Third Proportional to 1,949,478 and 4,347,202

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Solution

The third proportional to 1,949,478 and 4,347,202 is: 9,693,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,478 : 4,347,202 = 4,347,202 : x
  2. Step 2: Convert to fraction form
    1,949,478/4,347,202 = 4,347,202/x
  3. Step 3: Cross multiply
    1,949,478x = 4,347,202 × 4,347,202
  4. Step 4: Simplify right side
    1,949,478x = 18,898,165,228,804
  5. Step 5: Solve for x
    x = 18,898,165,228,804/1,949,478
  6. Step 6: Final answer
    x = 9,693,961.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.