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Finding the Third Proportional to 833,698.50 and 1,696,863

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Solution

The third proportional to 833,698.50 and 1,696,863 is: 3,453,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,698.50 : 1,696,863 = 1,696,863 : x
  2. Step 2: Convert to fraction form
    833,698.50/1,696,863 = 1,696,863/x
  3. Step 3: Cross multiply
    833,698.50x = 1,696,863 × 1,696,863
  4. Step 4: Simplify right side
    833,698.50x = 2,879,344,040,769
  5. Step 5: Solve for x
    x = 2,879,344,040,769/833,698.50
  6. Step 6: Final answer
    x = 3,453,699.44

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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.