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Finding the Third Proportional to 853,826.06 and 1,828,711.69

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Solution

The third proportional to 853,826.06 and 1,828,711.69 is: 3,916,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,826.06 : 1,828,711.69 = 1,828,711.69 : x
  2. Step 2: Convert to fraction form
    853,826.06/1,828,711.69 = 1,828,711.69/x
  3. Step 3: Cross multiply
    853,826.06x = 1,828,711.69 × 1,828,711.69
  4. Step 4: Simplify right side
    853,826.06x = 3,344,186,435,999.10
  5. Step 5: Solve for x
    x = 3,344,186,435,999.10/853,826.06
  6. Step 6: Final answer
    x = 3,916,706.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.