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Finding the Third Proportional to 408,870,114.75 and 892,673,412.75

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Solution

The third proportional to 408,870,114.75 and 892,673,412.75 is: 1,948,946,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,870,114.75 : 892,673,412.75 = 892,673,412.75 : x
  2. Step 2: Convert to fraction form
    408,870,114.75/892,673,412.75 = 892,673,412.75/x
  3. Step 3: Cross multiply
    408,870,114.75x = 892,673,412.75 × 892,673,412.75
  4. Step 4: Simplify right side
    408,870,114.75x = 796,865,821,830,731,904
  5. Step 5: Solve for x
    x = 796,865,821,830,731,904/408,870,114.75
  6. Step 6: Final answer
    x = 1,948,946,115.36

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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.