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Finding the Third Proportional to 1,178,677.50 and 1,745,916.75

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Solution

The third proportional to 1,178,677.50 and 1,745,916.75 is: 2,586,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,677.50 : 1,745,916.75 = 1,745,916.75 : x
  2. Step 2: Convert to fraction form
    1,178,677.50/1,745,916.75 = 1,745,916.75/x
  3. Step 3: Cross multiply
    1,178,677.50x = 1,745,916.75 × 1,745,916.75
  4. Step 4: Simplify right side
    1,178,677.50x = 3,048,225,297,930.56
  5. Step 5: Solve for x
    x = 3,048,225,297,930.56/1,178,677.50
  6. Step 6: Final answer
    x = 2,586,140.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.