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Finding the Third Proportional to 764,509,116 and 1,180,560,858

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Solution

The third proportional to 764,509,116 and 1,180,560,858 is: 1,823,031,158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,509,116 : 1,180,560,858 = 1,180,560,858 : x
  2. Step 2: Convert to fraction form
    764,509,116/1,180,560,858 = 1,180,560,858/x
  3. Step 3: Cross multiply
    764,509,116x = 1,180,560,858 × 1,180,560,858
  4. Step 4: Simplify right side
    764,509,116x = 1,393,723,939,441,696,256
  5. Step 5: Solve for x
    x = 1,393,723,939,441,696,256/764,509,116
  6. Step 6: Final answer
    x = 1,823,031,158.52

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.