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Finding the Third Proportional to 1,863,826.31 and 4,083,382.13

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Solution

The third proportional to 1,863,826.31 and 4,083,382.13 is: 8,946,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,826.31 : 4,083,382.13 = 4,083,382.13 : x
  2. Step 2: Convert to fraction form
    1,863,826.31/4,083,382.13 = 4,083,382.13/x
  3. Step 3: Cross multiply
    1,863,826.31x = 4,083,382.13 × 4,083,382.13
  4. Step 4: Simplify right side
    1,863,826.31x = 16,674,009,578,769.52
  5. Step 5: Solve for x
    x = 16,674,009,578,769.52/1,863,826.31
  6. Step 6: Final answer
    x = 8,946,117.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.