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Finding the Third Proportional to 833,900 and 1,820,716

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Solution

The third proportional to 833,900 and 1,820,716 is: 3,975,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,900 : 1,820,716 = 1,820,716 : x
  2. Step 2: Convert to fraction form
    833,900/1,820,716 = 1,820,716/x
  3. Step 3: Cross multiply
    833,900x = 1,820,716 × 1,820,716
  4. Step 4: Simplify right side
    833,900x = 3,315,006,752,656
  5. Step 5: Solve for x
    x = 3,315,006,752,656/833,900
  6. Step 6: Final answer
    x = 3,975,304.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.