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Finding the Third Proportional to 379,400,797 and 878,258,148

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Solution

The third proportional to 379,400,797 and 878,258,148 is: 2,033,040,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,400,797 : 878,258,148 = 878,258,148 : x
  2. Step 2: Convert to fraction form
    379,400,797/878,258,148 = 878,258,148/x
  3. Step 3: Cross multiply
    379,400,797x = 878,258,148 × 878,258,148
  4. Step 4: Simplify right side
    379,400,797x = 771,337,374,528,389,888
  5. Step 5: Solve for x
    x = 771,337,374,528,389,888/379,400,797
  6. Step 6: Final answer
    x = 2,033,040,996.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.