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Finding the Third Proportional to 833,702 and 1,696,864

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Solution

The third proportional to 833,702 and 1,696,864 is: 3,453,689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,702 : 1,696,864 = 1,696,864 : x
  2. Step 2: Convert to fraction form
    833,702/1,696,864 = 1,696,864/x
  3. Step 3: Cross multiply
    833,702x = 1,696,864 × 1,696,864
  4. Step 4: Simplify right side
    833,702x = 2,879,347,434,496
  5. Step 5: Solve for x
    x = 2,879,347,434,496/833,702
  6. Step 6: Final answer
    x = 3,453,689.01

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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.