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Finding the Third Proportional to 726,759,990 and 1,089,873,081

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Solution

The third proportional to 726,759,990 and 1,089,873,081 is: 1,634,409,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,759,990 : 1,089,873,081 = 1,089,873,081 : x
  2. Step 2: Convert to fraction form
    726,759,990/1,089,873,081 = 1,089,873,081/x
  3. Step 3: Cross multiply
    726,759,990x = 1,089,873,081 × 1,089,873,081
  4. Step 4: Simplify right side
    726,759,990x = 1,187,823,332,688,432,640
  5. Step 5: Solve for x
    x = 1,187,823,332,688,432,640/726,759,990
  6. Step 6: Final answer
    x = 1,634,409,363.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.