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Finding the Third Proportional to 1,493,113.50 and 2,247,051.38

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Solution

The third proportional to 1,493,113.50 and 2,247,051.38 is: 3,381,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493,113.50 : 2,247,051.38 = 2,247,051.38 : x
  2. Step 2: Convert to fraction form
    1,493,113.50/2,247,051.38 = 2,247,051.38/x
  3. Step 3: Cross multiply
    1,493,113.50x = 2,247,051.38 × 2,247,051.38
  4. Step 4: Simplify right side
    1,493,113.50x = 5,049,239,881,889.39
  5. Step 5: Solve for x
    x = 5,049,239,881,889.39/1,493,113.50
  6. Step 6: Final answer
    x = 3,381,685.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.