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Finding the Third Proportional to 1,720,138.50 and 2,405,895.75

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Solution

The third proportional to 1,720,138.50 and 2,405,895.75 is: 3,365,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720,138.50 : 2,405,895.75 = 2,405,895.75 : x
  2. Step 2: Convert to fraction form
    1,720,138.50/2,405,895.75 = 2,405,895.75/x
  3. Step 3: Cross multiply
    1,720,138.50x = 2,405,895.75 × 2,405,895.75
  4. Step 4: Simplify right side
    1,720,138.50x = 5,788,334,359,868.06
  5. Step 5: Solve for x
    x = 5,788,334,359,868.06/1,720,138.50
  6. Step 6: Final answer
    x = 3,365,039.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.