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Finding the Third Proportional to 833,694 and 1,696,854

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Solution

The third proportional to 833,694 and 1,696,854 is: 3,453,681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,694 : 1,696,854 = 1,696,854 : x
  2. Step 2: Convert to fraction form
    833,694/1,696,854 = 1,696,854/x
  3. Step 3: Cross multiply
    833,694x = 1,696,854 × 1,696,854
  4. Step 4: Simplify right side
    833,694x = 2,879,313,497,316
  5. Step 5: Solve for x
    x = 2,879,313,497,316/833,694
  6. Step 6: Final answer
    x = 3,453,681.44

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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.