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Finding the Third Proportional to 767,614,268 and 1,122,632,416

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Solution

The third proportional to 767,614,268 and 1,122,632,416 is: 1,641,844,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,614,268 : 1,122,632,416 = 1,122,632,416 : x
  2. Step 2: Convert to fraction form
    767,614,268/1,122,632,416 = 1,122,632,416/x
  3. Step 3: Cross multiply
    767,614,268x = 1,122,632,416 × 1,122,632,416
  4. Step 4: Simplify right side
    767,614,268x = 1,260,303,541,453,997,056
  5. Step 5: Solve for x
    x = 1,260,303,541,453,997,056/767,614,268
  6. Step 6: Final answer
    x = 1,641,844,861.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.