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Finding the Third Proportional to 1,985,362.50 and 4,209,114.75

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Solution

The third proportional to 1,985,362.50 and 4,209,114.75 is: 8,923,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985,362.50 : 4,209,114.75 = 4,209,114.75 : x
  2. Step 2: Convert to fraction form
    1,985,362.50/4,209,114.75 = 4,209,114.75/x
  3. Step 3: Cross multiply
    1,985,362.50x = 4,209,114.75 × 4,209,114.75
  4. Step 4: Simplify right side
    1,985,362.50x = 17,716,646,978,667.56
  5. Step 5: Solve for x
    x = 17,716,646,978,667.56/1,985,362.50
  6. Step 6: Final answer
    x = 8,923,633.33

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