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Finding the Third Proportional to 594,135 and 1,237,230

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Solution

The third proportional to 594,135 and 1,237,230 is: 2,576,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,135 : 1,237,230 = 1,237,230 : x
  2. Step 2: Convert to fraction form
    594,135/1,237,230 = 1,237,230/x
  3. Step 3: Cross multiply
    594,135x = 1,237,230 × 1,237,230
  4. Step 4: Simplify right side
    594,135x = 1,530,738,072,900
  5. Step 5: Solve for x
    x = 1,530,738,072,900/594,135
  6. Step 6: Final answer
    x = 2,576,414.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.