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Finding the Third Proportional to 416,714,758 and 613,026,057

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Solution

The third proportional to 416,714,758 and 613,026,057 is: 901,818,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,714,758 : 613,026,057 = 613,026,057 : x
  2. Step 2: Convert to fraction form
    416,714,758/613,026,057 = 613,026,057/x
  3. Step 3: Cross multiply
    416,714,758x = 613,026,057 × 613,026,057
  4. Step 4: Simplify right side
    416,714,758x = 375,800,946,560,967,232
  5. Step 5: Solve for x
    x = 375,800,946,560,967,232/416,714,758
  6. Step 6: Final answer
    x = 901,818,184.61

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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.