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Finding the Third Proportional to 540,556,497 and 1,180,197,189

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Solution

The third proportional to 540,556,497 and 1,180,197,189 is: 2,576,724,935.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,556,497 : 1,180,197,189 = 1,180,197,189 : x
  2. Step 2: Convert to fraction form
    540,556,497/1,180,197,189 = 1,180,197,189/x
  3. Step 3: Cross multiply
    540,556,497x = 1,180,197,189 × 1,180,197,189
  4. Step 4: Simplify right side
    540,556,497x = 1,392,865,404,923,501,824
  5. Step 5: Solve for x
    x = 1,392,865,404,923,501,824/540,556,497
  6. Step 6: Final answer
    x = 2,576,724,935.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.