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Finding the Third Proportional to 1,364,230.41 and 2,273,580.56

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Solution

The third proportional to 1,364,230.41 and 2,273,580.56 is: 3,789,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,230.41 : 2,273,580.56 = 2,273,580.56 : x
  2. Step 2: Convert to fraction form
    1,364,230.41/2,273,580.56 = 2,273,580.56/x
  3. Step 3: Cross multiply
    1,364,230.41x = 2,273,580.56 × 2,273,580.56
  4. Step 4: Simplify right side
    1,364,230.41x = 5,169,168,574,177.82
  5. Step 5: Solve for x
    x = 5,169,168,574,177.82/1,364,230.41
  6. Step 6: Final answer
    x = 3,789,072.98

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.