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Finding the Third Proportional to 775,225,505 and 1,191,577,656

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Solution

The third proportional to 775,225,505 and 1,191,577,656 is: 1,831,541,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,225,505 : 1,191,577,656 = 1,191,577,656 : x
  2. Step 2: Convert to fraction form
    775,225,505/1,191,577,656 = 1,191,577,656/x
  3. Step 3: Cross multiply
    775,225,505x = 1,191,577,656 × 1,191,577,656
  4. Step 4: Simplify right side
    775,225,505x = 1,419,857,310,278,454,272
  5. Step 5: Solve for x
    x = 1,419,857,310,278,454,272/775,225,505
  6. Step 6: Final answer
    x = 1,831,541,017.58

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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.