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Finding the Third Proportional to 436,548,122 and 654,661,836

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Solution

The third proportional to 436,548,122 and 654,661,836 is: 981,752,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,548,122 : 654,661,836 = 654,661,836 : x
  2. Step 2: Convert to fraction form
    436,548,122/654,661,836 = 654,661,836/x
  3. Step 3: Cross multiply
    436,548,122x = 654,661,836 × 654,661,836
  4. Step 4: Simplify right side
    436,548,122x = 428,582,119,514,890,880
  5. Step 5: Solve for x
    x = 428,582,119,514,890,880/436,548,122
  6. Step 6: Final answer
    x = 981,752,292.40

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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.