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Finding the Third Proportional to 546,390,414 and 1,192,632,444

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Solution

The third proportional to 546,390,414 and 1,192,632,444 is: 2,603,215,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,390,414 : 1,192,632,444 = 1,192,632,444 : x
  2. Step 2: Convert to fraction form
    546,390,414/1,192,632,444 = 1,192,632,444/x
  3. Step 3: Cross multiply
    546,390,414x = 1,192,632,444 × 1,192,632,444
  4. Step 4: Simplify right side
    546,390,414x = 1,422,372,146,481,413,120
  5. Step 5: Solve for x
    x = 1,422,372,146,481,413,120/546,390,414
  6. Step 6: Final answer
    x = 2,603,215,777.65

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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.