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Finding the Third Proportional to 823,104 and 1,735,875

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Solution

The third proportional to 823,104 and 1,735,875 is: 3,660,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,104 : 1,735,875 = 1,735,875 : x
  2. Step 2: Convert to fraction form
    823,104/1,735,875 = 1,735,875/x
  3. Step 3: Cross multiply
    823,104x = 1,735,875 × 1,735,875
  4. Step 4: Simplify right side
    823,104x = 3,013,262,015,625
  5. Step 5: Solve for x
    x = 3,013,262,015,625/823,104
  6. Step 6: Final answer
    x = 3,660,852.11

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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.