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Finding the Third Proportional to 374,384,837 and 834,806,173

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Solution

The third proportional to 374,384,837 and 834,806,173 is: 1,861,457,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,384,837 : 834,806,173 = 834,806,173 : x
  2. Step 2: Convert to fraction form
    374,384,837/834,806,173 = 834,806,173/x
  3. Step 3: Cross multiply
    374,384,837x = 834,806,173 × 834,806,173
  4. Step 4: Simplify right side
    374,384,837x = 696,901,346,478,905,984
  5. Step 5: Solve for x
    x = 696,901,346,478,905,984/374,384,837
  6. Step 6: Final answer
    x = 1,861,457,189.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.