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Finding the Third Proportional to 481,038.75 and 1,044,049.50

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Solution

The third proportional to 481,038.75 and 1,044,049.50 is: 2,266,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,038.75 : 1,044,049.50 = 1,044,049.50 : x
  2. Step 2: Convert to fraction form
    481,038.75/1,044,049.50 = 1,044,049.50/x
  3. Step 3: Cross multiply
    481,038.75x = 1,044,049.50 × 1,044,049.50
  4. Step 4: Simplify right side
    481,038.75x = 1,090,039,358,450.25
  5. Step 5: Solve for x
    x = 1,090,039,358,450.25/481,038.75
  6. Step 6: Final answer
    x = 2,266,011.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.