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Finding the Third Proportional to 689,613,958.50 and 1,033,409,631

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Solution

The third proportional to 689,613,958.50 and 1,033,409,631 is: 1,548,598,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,613,958.50 : 1,033,409,631 = 1,033,409,631 : x
  2. Step 2: Convert to fraction form
    689,613,958.50/1,033,409,631 = 1,033,409,631/x
  3. Step 3: Cross multiply
    689,613,958.50x = 1,033,409,631 × 1,033,409,631
  4. Step 4: Simplify right side
    689,613,958.50x = 1,067,935,465,443,556,224
  5. Step 5: Solve for x
    x = 1,067,935,465,443,556,224/689,613,958.50
  6. Step 6: Final answer
    x = 1,548,598,969.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.