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Finding the Third Proportional to 400,722,640 and 613,001,704

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Solution

The third proportional to 400,722,640 and 613,001,704 is: 937,733,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,722,640 : 613,001,704 = 613,001,704 : x
  2. Step 2: Convert to fraction form
    400,722,640/613,001,704 = 613,001,704/x
  3. Step 3: Cross multiply
    400,722,640x = 613,001,704 × 613,001,704
  4. Step 4: Simplify right side
    400,722,640x = 375,771,089,106,903,616
  5. Step 5: Solve for x
    x = 375,771,089,106,903,616/400,722,640
  6. Step 6: Final answer
    x = 937,733,613.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.