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Finding the Third Proportional to 800,708,172 and 1,724,277,144

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Solution

The third proportional to 800,708,172 and 1,724,277,144 is: 3,713,127,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,708,172 : 1,724,277,144 = 1,724,277,144 : x
  2. Step 2: Convert to fraction form
    800,708,172/1,724,277,144 = 1,724,277,144/x
  3. Step 3: Cross multiply
    800,708,172x = 1,724,277,144 × 1,724,277,144
  4. Step 4: Simplify right side
    800,708,172x = 2,973,131,669,320,796,672
  5. Step 5: Solve for x
    x = 2,973,131,669,320,796,672/800,708,172
  6. Step 6: Final answer
    x = 3,713,127,670.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.