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Finding the Third Proportional to 853,115.63 and 1,811,435.06

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Solution

The third proportional to 853,115.63 and 1,811,435.06 is: 3,846,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,115.63 : 1,811,435.06 = 1,811,435.06 : x
  2. Step 2: Convert to fraction form
    853,115.63/1,811,435.06 = 1,811,435.06/x
  3. Step 3: Cross multiply
    853,115.63x = 1,811,435.06 × 1,811,435.06
  4. Step 4: Simplify right side
    853,115.63x = 3,281,296,985,654.38
  5. Step 5: Solve for x
    x = 3,281,296,985,654.38/853,115.63
  6. Step 6: Final answer
    x = 3,846,251.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.