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Finding the Third Proportional to 1,976,154 and 4,022,148

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Solution

The third proportional to 1,976,154 and 4,022,148 is: 8,186,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976,154 : 4,022,148 = 4,022,148 : x
  2. Step 2: Convert to fraction form
    1,976,154/4,022,148 = 4,022,148/x
  3. Step 3: Cross multiply
    1,976,154x = 4,022,148 × 4,022,148
  4. Step 4: Simplify right side
    1,976,154x = 16,177,674,533,904
  5. Step 5: Solve for x
    x = 16,177,674,533,904/1,976,154
  6. Step 6: Final answer
    x = 8,186,444.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.