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Finding the Third Proportional to 848,658 and 1,830,176

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Solution

The third proportional to 848,658 and 1,830,176 is: 3,946,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,658 : 1,830,176 = 1,830,176 : x
  2. Step 2: Convert to fraction form
    848,658/1,830,176 = 1,830,176/x
  3. Step 3: Cross multiply
    848,658x = 1,830,176 × 1,830,176
  4. Step 4: Simplify right side
    848,658x = 3,349,544,190,976
  5. Step 5: Solve for x
    x = 3,349,544,190,976/848,658
  6. Step 6: Final answer
    x = 3,946,871.64

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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.