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Finding the Third Proportional to 290,921,027 and 646,412,126

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Solution

The third proportional to 290,921,027 and 646,412,126 is: 1,436,295,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,921,027 : 646,412,126 = 646,412,126 : x
  2. Step 2: Convert to fraction form
    290,921,027/646,412,126 = 646,412,126/x
  3. Step 3: Cross multiply
    290,921,027x = 646,412,126 × 646,412,126
  4. Step 4: Simplify right side
    290,921,027x = 417,848,636,639,839,872
  5. Step 5: Solve for x
    x = 417,848,636,639,839,872/290,921,027
  6. Step 6: Final answer
    x = 1,436,295,756.79

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.