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Finding the Third Proportional to 319,073,742 and 694,052,126

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Solution

The third proportional to 319,073,742 and 694,052,126 is: 1,509,708,541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,073,742 : 694,052,126 = 694,052,126 : x
  2. Step 2: Convert to fraction form
    319,073,742/694,052,126 = 694,052,126/x
  3. Step 3: Cross multiply
    319,073,742x = 694,052,126 × 694,052,126
  4. Step 4: Simplify right side
    319,073,742x = 481,708,353,605,119,872
  5. Step 5: Solve for x
    x = 481,708,353,605,119,872/319,073,742
  6. Step 6: Final answer
    x = 1,509,708,541.31

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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.