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Finding the Third Proportional to 408,646,226 and 907,991,716

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Solution

The third proportional to 408,646,226 and 907,991,716 is: 2,017,512,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,646,226 : 907,991,716 = 907,991,716 : x
  2. Step 2: Convert to fraction form
    408,646,226/907,991,716 = 907,991,716/x
  3. Step 3: Cross multiply
    408,646,226x = 907,991,716 × 907,991,716
  4. Step 4: Simplify right side
    408,646,226x = 824,448,956,324,624,640
  5. Step 5: Solve for x
    x = 824,448,956,324,624,640/408,646,226
  6. Step 6: Final answer
    x = 2,017,512,713.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.