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Finding the Third Proportional to 920,119.50 and 1,886,135.63

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Solution

The third proportional to 920,119.50 and 1,886,135.63 is: 3,866,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,119.50 : 1,886,135.63 = 1,886,135.63 : x
  2. Step 2: Convert to fraction form
    920,119.50/1,886,135.63 = 1,886,135.63/x
  3. Step 3: Cross multiply
    920,119.50x = 1,886,135.63 × 1,886,135.63
  4. Step 4: Simplify right side
    920,119.50x = 3,557,507,595,894.14
  5. Step 5: Solve for x
    x = 3,557,507,595,894.14/920,119.50
  6. Step 6: Final answer
    x = 3,866,353.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.