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Finding the Third Proportional to 848,420 and 1,829,678

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Solution

The third proportional to 848,420 and 1,829,678 is: 3,945,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,420 : 1,829,678 = 1,829,678 : x
  2. Step 2: Convert to fraction form
    848,420/1,829,678 = 1,829,678/x
  3. Step 3: Cross multiply
    848,420x = 1,829,678 × 1,829,678
  4. Step 4: Simplify right side
    848,420x = 3,347,721,583,684
  5. Step 5: Solve for x
    x = 3,347,721,583,684/848,420
  6. Step 6: Final answer
    x = 3,945,830.58

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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.