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Finding the Third Proportional to 830,400.75 and 1,804,731.75

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Solution

The third proportional to 830,400.75 and 1,804,731.75 is: 3,922,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,400.75 : 1,804,731.75 = 1,804,731.75 : x
  2. Step 2: Convert to fraction form
    830,400.75/1,804,731.75 = 1,804,731.75/x
  3. Step 3: Cross multiply
    830,400.75x = 1,804,731.75 × 1,804,731.75
  4. Step 4: Simplify right side
    830,400.75x = 3,257,056,689,458.06
  5. Step 5: Solve for x
    x = 3,257,056,689,458.06/830,400.75
  6. Step 6: Final answer
    x = 3,922,270.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.