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Finding the Third Proportional to 397,786,144 and 867,828,500

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Solution

The third proportional to 397,786,144 and 867,828,500 is: 1,893,294,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,786,144 : 867,828,500 = 867,828,500 : x
  2. Step 2: Convert to fraction form
    397,786,144/867,828,500 = 867,828,500/x
  3. Step 3: Cross multiply
    397,786,144x = 867,828,500 × 867,828,500
  4. Step 4: Simplify right side
    397,786,144x = 753,126,305,412,249,984
  5. Step 5: Solve for x
    x = 753,126,305,412,249,984/397,786,144
  6. Step 6: Final answer
    x = 1,893,294,466.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.