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Finding the Third Proportional to 952,971.75 and 1,397,668.50

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Solution

The third proportional to 952,971.75 and 1,397,668.50 is: 2,049,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,971.75 : 1,397,668.50 = 1,397,668.50 : x
  2. Step 2: Convert to fraction form
    952,971.75/1,397,668.50 = 1,397,668.50/x
  3. Step 3: Cross multiply
    952,971.75x = 1,397,668.50 × 1,397,668.50
  4. Step 4: Simplify right side
    952,971.75x = 1,953,477,235,892.25
  5. Step 5: Solve for x
    x = 1,953,477,235,892.25/952,971.75
  6. Step 6: Final answer
    x = 2,049,879.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.