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Finding the Third Proportional to 852,502.85 and 1,846,899.84

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Solution

The third proportional to 852,502.85 and 1,846,899.84 is: 4,001,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,502.85 : 1,846,899.84 = 1,846,899.84 : x
  2. Step 2: Convert to fraction form
    852,502.85/1,846,899.84 = 1,846,899.84/x
  3. Step 3: Cross multiply
    852,502.85x = 1,846,899.84 × 1,846,899.84
  4. Step 4: Simplify right side
    852,502.85x = 3,411,039,032,843.77
  5. Step 5: Solve for x
    x = 3,411,039,032,843.77/852,502.85
  6. Step 6: Final answer
    x = 4,001,205.42

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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.