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Finding the Third Proportional to 590,520,144 and 1,379,721,504

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Solution

The third proportional to 590,520,144 and 1,379,721,504 is: 3,223,651,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,520,144 : 1,379,721,504 = 1,379,721,504 : x
  2. Step 2: Convert to fraction form
    590,520,144/1,379,721,504 = 1,379,721,504/x
  3. Step 3: Cross multiply
    590,520,144x = 1,379,721,504 × 1,379,721,504
  4. Step 4: Simplify right side
    590,520,144x = 1,903,631,428,600,022,016
  5. Step 5: Solve for x
    x = 1,903,631,428,600,022,016/590,520,144
  6. Step 6: Final answer
    x = 3,223,651,975.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.