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Finding the Third Proportional to 833,217 and 1,784,529

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Solution

The third proportional to 833,217 and 1,784,529 is: 3,821,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,217 : 1,784,529 = 1,784,529 : x
  2. Step 2: Convert to fraction form
    833,217/1,784,529 = 1,784,529/x
  3. Step 3: Cross multiply
    833,217x = 1,784,529 × 1,784,529
  4. Step 4: Simplify right side
    833,217x = 3,184,543,751,841
  5. Step 5: Solve for x
    x = 3,184,543,751,841/833,217
  6. Step 6: Final answer
    x = 3,821,986.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.