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Finding the Third Proportional to 638,082 and 957,123

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Solution

The third proportional to 638,082 and 957,123 is: 1,435,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,082 : 957,123 = 957,123 : x
  2. Step 2: Convert to fraction form
    638,082/957,123 = 957,123/x
  3. Step 3: Cross multiply
    638,082x = 957,123 × 957,123
  4. Step 4: Simplify right side
    638,082x = 916,084,437,129
  5. Step 5: Solve for x
    x = 916,084,437,129/638,082
  6. Step 6: Final answer
    x = 1,435,684.50

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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.