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Finding the Third Proportional to 423,709,254 and 897,821,568

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Solution

The third proportional to 423,709,254 and 897,821,568 is: 1,902,445,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,709,254 : 897,821,568 = 897,821,568 : x
  2. Step 2: Convert to fraction form
    423,709,254/897,821,568 = 897,821,568/x
  3. Step 3: Cross multiply
    423,709,254x = 897,821,568 × 897,821,568
  4. Step 4: Simplify right side
    423,709,254x = 806,083,567,965,978,624
  5. Step 5: Solve for x
    x = 806,083,567,965,978,624/423,709,254
  6. Step 6: Final answer
    x = 1,902,445,038.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.