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Finding the Third Proportional to 819,219 and 1,731,894

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Solution

The third proportional to 819,219 and 1,731,894 is: 3,661,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,219 : 1,731,894 = 1,731,894 : x
  2. Step 2: Convert to fraction form
    819,219/1,731,894 = 1,731,894/x
  3. Step 3: Cross multiply
    819,219x = 1,731,894 × 1,731,894
  4. Step 4: Simplify right side
    819,219x = 2,999,456,827,236
  5. Step 5: Solve for x
    x = 2,999,456,827,236/819,219
  6. Step 6: Final answer
    x = 3,661,361.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.