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Finding the Third Proportional to 848,641.75 and 1,830,143.75

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Solution

The third proportional to 848,641.75 and 1,830,143.75 is: 3,946,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,641.75 : 1,830,143.75 = 1,830,143.75 : x
  2. Step 2: Convert to fraction form
    848,641.75/1,830,143.75 = 1,830,143.75/x
  3. Step 3: Cross multiply
    848,641.75x = 1,830,143.75 × 1,830,143.75
  4. Step 4: Simplify right side
    848,641.75x = 3,349,426,145,664.06
  5. Step 5: Solve for x
    x = 3,349,426,145,664.06/848,641.75
  6. Step 6: Final answer
    x = 3,946,808.12

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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.