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Finding the Third Proportional to 528,923 and 1,162,813

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Solution

The third proportional to 528,923 and 1,162,813 is: 2,556,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,923 : 1,162,813 = 1,162,813 : x
  2. Step 2: Convert to fraction form
    528,923/1,162,813 = 1,162,813/x
  3. Step 3: Cross multiply
    528,923x = 1,162,813 × 1,162,813
  4. Step 4: Simplify right side
    528,923x = 1,352,134,072,969
  5. Step 5: Solve for x
    x = 1,352,134,072,969/528,923
  6. Step 6: Final answer
    x = 2,556,391.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.