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Finding the Third Proportional to 1,273,715.50 and 2,045,265.75

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Solution

The third proportional to 1,273,715.50 and 2,045,265.75 is: 3,284,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273,715.50 : 2,045,265.75 = 2,045,265.75 : x
  2. Step 2: Convert to fraction form
    1,273,715.50/2,045,265.75 = 2,045,265.75/x
  3. Step 3: Cross multiply
    1,273,715.50x = 2,045,265.75 × 2,045,265.75
  4. Step 4: Simplify right side
    1,273,715.50x = 4,183,111,988,123.06
  5. Step 5: Solve for x
    x = 4,183,111,988,123.06/1,273,715.50
  6. Step 6: Final answer
    x = 3,284,180.80

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.