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Finding the Third Proportional to 1,365,222.50 and 2,119,768

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Solution

The third proportional to 1,365,222.50 and 2,119,768 is: 3,291,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,222.50 : 2,119,768 = 2,119,768 : x
  2. Step 2: Convert to fraction form
    1,365,222.50/2,119,768 = 2,119,768/x
  3. Step 3: Cross multiply
    1,365,222.50x = 2,119,768 × 2,119,768
  4. Step 4: Simplify right side
    1,365,222.50x = 4,493,416,373,824
  5. Step 5: Solve for x
    x = 4,493,416,373,824/1,365,222.50
  6. Step 6: Final answer
    x = 3,291,343.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.