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Finding the Third Proportional to 1,245,819 and 1,893,921.75

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Solution

The third proportional to 1,245,819 and 1,893,921.75 is: 2,879,181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,819 : 1,893,921.75 = 1,893,921.75 : x
  2. Step 2: Convert to fraction form
    1,245,819/1,893,921.75 = 1,893,921.75/x
  3. Step 3: Cross multiply
    1,245,819x = 1,893,921.75 × 1,893,921.75
  4. Step 4: Simplify right side
    1,245,819x = 3,586,939,595,123.06
  5. Step 5: Solve for x
    x = 3,586,939,595,123.06/1,245,819
  6. Step 6: Final answer
    x = 2,879,181.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.