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Finding the Third Proportional to 297,252,738 and 621,608,967

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Solution

The third proportional to 297,252,738 and 621,608,967 is: 1,299,896,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,252,738 : 621,608,967 = 621,608,967 : x
  2. Step 2: Convert to fraction form
    297,252,738/621,608,967 = 621,608,967/x
  3. Step 3: Cross multiply
    297,252,738x = 621,608,967 × 621,608,967
  4. Step 4: Simplify right side
    297,252,738x = 386,397,707,854,807,104
  5. Step 5: Solve for x
    x = 386,397,707,854,807,104/297,252,738
  6. Step 6: Final answer
    x = 1,299,896,211.06

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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.