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Finding the Third Proportional to 833,922 and 1,820,758.50

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Solution

The third proportional to 833,922 and 1,820,758.50 is: 3,975,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,922 : 1,820,758.50 = 1,820,758.50 : x
  2. Step 2: Convert to fraction form
    833,922/1,820,758.50 = 1,820,758.50/x
  3. Step 3: Cross multiply
    833,922x = 1,820,758.50 × 1,820,758.50
  4. Step 4: Simplify right side
    833,922x = 3,315,161,515,322.25
  5. Step 5: Solve for x
    x = 3,315,161,515,322.25/833,922
  6. Step 6: Final answer
    x = 3,975,385.61

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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.