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Finding the Third Proportional to 833,700 and 1,696,866

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Solution

The third proportional to 833,700 and 1,696,866 is: 3,453,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,700 : 1,696,866 = 1,696,866 : x
  2. Step 2: Convert to fraction form
    833,700/1,696,866 = 1,696,866/x
  3. Step 3: Cross multiply
    833,700x = 1,696,866 × 1,696,866
  4. Step 4: Simplify right side
    833,700x = 2,879,354,221,956
  5. Step 5: Solve for x
    x = 2,879,354,221,956/833,700
  6. Step 6: Final answer
    x = 3,453,705.44

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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.