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Finding the Third Proportional to 1,796,381 and 2,713,221

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Solution

The third proportional to 1,796,381 and 2,713,221 is: 4,097,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796,381 : 2,713,221 = 2,713,221 : x
  2. Step 2: Convert to fraction form
    1,796,381/2,713,221 = 2,713,221/x
  3. Step 3: Cross multiply
    1,796,381x = 2,713,221 × 2,713,221
  4. Step 4: Simplify right side
    1,796,381x = 7,361,568,194,841
  5. Step 5: Solve for x
    x = 7,361,568,194,841/1,796,381
  6. Step 6: Final answer
    x = 4,097,999.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.