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Finding the Third Proportional to 436,548,120 and 654,661,834

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Solution

The third proportional to 436,548,120 and 654,661,834 is: 981,752,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,548,120 : 654,661,834 = 654,661,834 : x
  2. Step 2: Convert to fraction form
    436,548,120/654,661,834 = 654,661,834/x
  3. Step 3: Cross multiply
    436,548,120x = 654,661,834 × 654,661,834
  4. Step 4: Simplify right side
    436,548,120x = 428,582,116,896,243,584
  5. Step 5: Solve for x
    x = 428,582,116,896,243,584/436,548,120
  6. Step 6: Final answer
    x = 981,752,290.90

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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.