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Finding the Third Proportional to 505,470.38 and 1,099,514.25

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Solution

The third proportional to 505,470.38 and 1,099,514.25 is: 2,391,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,470.38 : 1,099,514.25 = 1,099,514.25 : x
  2. Step 2: Convert to fraction form
    505,470.38/1,099,514.25 = 1,099,514.25/x
  3. Step 3: Cross multiply
    505,470.38x = 1,099,514.25 × 1,099,514.25
  4. Step 4: Simplify right side
    505,470.38x = 1,208,931,585,953.06
  5. Step 5: Solve for x
    x = 1,208,931,585,953.06/505,470.38
  6. Step 6: Final answer
    x = 2,391,696.22

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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.