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Finding the Third Proportional to 775,235,954 and 1,191,591,346

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Solution

The third proportional to 775,235,954 and 1,191,591,346 is: 1,831,558,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,235,954 : 1,191,591,346 = 1,191,591,346 : x
  2. Step 2: Convert to fraction form
    775,235,954/1,191,591,346 = 1,191,591,346/x
  3. Step 3: Cross multiply
    775,235,954x = 1,191,591,346 × 1,191,591,346
  4. Step 4: Simplify right side
    775,235,954x = 1,419,889,935,862,091,776
  5. Step 5: Solve for x
    x = 1,419,889,935,862,091,776/775,235,954
  6. Step 6: Final answer
    x = 1,831,558,415.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.