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Finding the Third Proportional to 468,558,122 and 685,589,181

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Solution

The third proportional to 468,558,122 and 685,589,181 is: 1,003,146,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,558,122 : 685,589,181 = 685,589,181 : x
  2. Step 2: Convert to fraction form
    468,558,122/685,589,181 = 685,589,181/x
  3. Step 3: Cross multiply
    468,558,122x = 685,589,181 × 685,589,181
  4. Step 4: Simplify right side
    468,558,122x = 470,032,525,104,250,752
  5. Step 5: Solve for x
    x = 470,032,525,104,250,752/468,558,122
  6. Step 6: Final answer
    x = 1,003,146,681.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.