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Finding the Third Proportional to 280,266,592 and 654,829,245

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Solution

The third proportional to 280,266,592 and 654,829,245 is: 1,529,976,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,266,592 : 654,829,245 = 654,829,245 : x
  2. Step 2: Convert to fraction form
    280,266,592/654,829,245 = 654,829,245/x
  3. Step 3: Cross multiply
    280,266,592x = 654,829,245 × 654,829,245
  4. Step 4: Simplify right side
    280,266,592x = 428,801,340,107,270,016
  5. Step 5: Solve for x
    x = 428,801,340,107,270,016/280,266,592
  6. Step 6: Final answer
    x = 1,529,976,644.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.