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Finding the Third Proportional to 306,288,126 and 672,087,924

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Solution

The third proportional to 306,288,126 and 672,087,924 is: 1,474,762,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,288,126 : 672,087,924 = 672,087,924 : x
  2. Step 2: Convert to fraction form
    306,288,126/672,087,924 = 672,087,924/x
  3. Step 3: Cross multiply
    306,288,126x = 672,087,924 × 672,087,924
  4. Step 4: Simplify right side
    306,288,126x = 451,702,177,586,629,760
  5. Step 5: Solve for x
    x = 451,702,177,586,629,760/306,288,126
  6. Step 6: Final answer
    x = 1,474,762,288.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.