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Finding the Third Proportional to 1,245,664,828 and 1,751,944,235

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Solution

The third proportional to 1,245,664,828 and 1,751,944,235 is: 2,463,992,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,664,828 : 1,751,944,235 = 1,751,944,235 : x
  2. Step 2: Convert to fraction form
    1,245,664,828/1,751,944,235 = 1,751,944,235/x
  3. Step 3: Cross multiply
    1,245,664,828x = 1,751,944,235 × 1,751,944,235
  4. Step 4: Simplify right side
    1,245,664,828x = 3,069,308,602,549,735,424
  5. Step 5: Solve for x
    x = 3,069,308,602,549,735,424/1,245,664,828
  6. Step 6: Final answer
    x = 2,463,992,346.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.