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Finding the Third Proportional to 848,369 and 1,829,578

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Solution

The third proportional to 848,369 and 1,829,578 is: 3,945,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,369 : 1,829,578 = 1,829,578 : x
  2. Step 2: Convert to fraction form
    848,369/1,829,578 = 1,829,578/x
  3. Step 3: Cross multiply
    848,369x = 1,829,578 × 1,829,578
  4. Step 4: Simplify right side
    848,369x = 3,347,355,658,084
  5. Step 5: Solve for x
    x = 3,347,355,658,084/848,369
  6. Step 6: Final answer
    x = 3,945,636.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.