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Finding the Third Proportional to 1,990,716.75 and 4,353,998.06

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Solution

The third proportional to 1,990,716.75 and 4,353,998.06 is: 9,522,851.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990,716.75 : 4,353,998.06 = 4,353,998.06 : x
  2. Step 2: Convert to fraction form
    1,990,716.75/4,353,998.06 = 4,353,998.06/x
  3. Step 3: Cross multiply
    1,990,716.75x = 4,353,998.06 × 4,353,998.06
  4. Step 4: Simplify right side
    1,990,716.75x = 18,957,299,128,253.75
  5. Step 5: Solve for x
    x = 18,957,299,128,253.75/1,990,716.75
  6. Step 6: Final answer
    x = 9,522,851.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.