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Finding the Third Proportional to 525,045.75 and 1,145,119

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Solution

The third proportional to 525,045.75 and 1,145,119 is: 2,497,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,045.75 : 1,145,119 = 1,145,119 : x
  2. Step 2: Convert to fraction form
    525,045.75/1,145,119 = 1,145,119/x
  3. Step 3: Cross multiply
    525,045.75x = 1,145,119 × 1,145,119
  4. Step 4: Simplify right side
    525,045.75x = 1,311,297,524,161
  5. Step 5: Solve for x
    x = 1,311,297,524,161/525,045.75
  6. Step 6: Final answer
    x = 2,497,491.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.