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Finding the Third Proportional to 2,005,080.33 and 4,312,433.67

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Solution

The third proportional to 2,005,080.33 and 4,312,433.67 is: 9,274,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,080.33 : 4,312,433.67 = 4,312,433.67 : x
  2. Step 2: Convert to fraction form
    2,005,080.33/4,312,433.67 = 4,312,433.67/x
  3. Step 3: Cross multiply
    2,005,080.33x = 4,312,433.67 × 4,312,433.67
  4. Step 4: Simplify right side
    2,005,080.33x = 18,597,084,174,321.30
  5. Step 5: Solve for x
    x = 18,597,084,174,321.30/2,005,080.33
  6. Step 6: Final answer
    x = 9,274,982.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.