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Finding the Third Proportional to 297,252,745 and 621,608,980

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Solution

The third proportional to 297,252,745 and 621,608,980 is: 1,299,896,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,252,745 : 621,608,980 = 621,608,980 : x
  2. Step 2: Convert to fraction form
    297,252,745/621,608,980 = 621,608,980/x
  3. Step 3: Cross multiply
    297,252,745x = 621,608,980 × 621,608,980
  4. Step 4: Simplify right side
    297,252,745x = 386,397,724,016,640,384
  5. Step 5: Solve for x
    x = 386,397,724,016,640,384/297,252,745
  6. Step 6: Final answer
    x = 1,299,896,234.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.