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Finding the Third Proportional to 1,830,729.94 and 3,828,765.38

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Solution

The third proportional to 1,830,729.94 and 3,828,765.38 is: 8,007,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830,729.94 : 3,828,765.38 = 3,828,765.38 : x
  2. Step 2: Convert to fraction form
    1,830,729.94/3,828,765.38 = 3,828,765.38/x
  3. Step 3: Cross multiply
    1,830,729.94x = 3,828,765.38 × 3,828,765.38
  4. Step 4: Simplify right side
    1,830,729.94x = 14,659,444,296,798.89
  5. Step 5: Solve for x
    x = 14,659,444,296,798.89/1,830,729.94
  6. Step 6: Final answer
    x = 8,007,431.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.