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Finding the Third Proportional to 848,644 and 1,830,149

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Solution

The third proportional to 848,644 and 1,830,149 is: 3,946,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,644 : 1,830,149 = 1,830,149 : x
  2. Step 2: Convert to fraction form
    848,644/1,830,149 = 1,830,149/x
  3. Step 3: Cross multiply
    848,644x = 1,830,149 × 1,830,149
  4. Step 4: Simplify right side
    848,644x = 3,349,445,362,201
  5. Step 5: Solve for x
    x = 3,349,445,362,201/848,644
  6. Step 6: Final answer
    x = 3,946,820.29

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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.