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Finding the Third Proportional to 952,203,802 and 1,470,735,449

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Solution

The third proportional to 952,203,802 and 1,470,735,449 is: 2,271,638,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,203,802 : 1,470,735,449 = 1,470,735,449 : x
  2. Step 2: Convert to fraction form
    952,203,802/1,470,735,449 = 1,470,735,449/x
  3. Step 3: Cross multiply
    952,203,802x = 1,470,735,449 × 1,470,735,449
  4. Step 4: Simplify right side
    952,203,802x = 2,163,062,760,945,231,616
  5. Step 5: Solve for x
    x = 2,163,062,760,945,231,616/952,203,802
  6. Step 6: Final answer
    x = 2,271,638,441.69

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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.