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Finding the Third Proportional to 775,235,390 and 1,191,590,265

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Solution

The third proportional to 775,235,390 and 1,191,590,265 is: 1,831,556,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,235,390 : 1,191,590,265 = 1,191,590,265 : x
  2. Step 2: Convert to fraction form
    775,235,390/1,191,590,265 = 1,191,590,265/x
  3. Step 3: Cross multiply
    775,235,390x = 1,191,590,265 × 1,191,590,265
  4. Step 4: Simplify right side
    775,235,390x = 1,419,887,359,642,770,176
  5. Step 5: Solve for x
    x = 1,419,887,359,642,770,176/775,235,390
  6. Step 6: Final answer
    x = 1,831,556,425.26

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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.