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Finding the Third Proportional to 775,235,388 and 1,191,590,262

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Solution

The third proportional to 775,235,388 and 1,191,590,262 is: 1,831,556,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,235,388 : 1,191,590,262 = 1,191,590,262 : x
  2. Step 2: Convert to fraction form
    775,235,388/1,191,590,262 = 1,191,590,262/x
  3. Step 3: Cross multiply
    775,235,388x = 1,191,590,262 × 1,191,590,262
  4. Step 4: Simplify right side
    775,235,388x = 1,419,887,352,493,228,544
  5. Step 5: Solve for x
    x = 1,419,887,352,493,228,544/775,235,388
  6. Step 6: Final answer
    x = 1,831,556,420.76

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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.