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Finding the Third Proportional to 751,922,416 and 1,149,495,648

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Solution

The third proportional to 751,922,416 and 1,149,495,648 is: 1,757,282,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,922,416 : 1,149,495,648 = 1,149,495,648 : x
  2. Step 2: Convert to fraction form
    751,922,416/1,149,495,648 = 1,149,495,648/x
  3. Step 3: Cross multiply
    751,922,416x = 1,149,495,648 × 1,149,495,648
  4. Step 4: Simplify right side
    751,922,416x = 1,321,340,244,770,939,904
  5. Step 5: Solve for x
    x = 1,321,340,244,770,939,904/751,922,416
  6. Step 6: Final answer
    x = 1,757,282,688.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.