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Finding the Third Proportional to 606,665,975 and 1,307,048,560

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Solution

The third proportional to 606,665,975 and 1,307,048,560 is: 2,816,007,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,665,975 : 1,307,048,560 = 1,307,048,560 : x
  2. Step 2: Convert to fraction form
    606,665,975/1,307,048,560 = 1,307,048,560/x
  3. Step 3: Cross multiply
    606,665,975x = 1,307,048,560 × 1,307,048,560
  4. Step 4: Simplify right side
    606,665,975x = 1,708,375,938,198,073,600
  5. Step 5: Solve for x
    x = 1,708,375,938,198,073,600/606,665,975
  6. Step 6: Final answer
    x = 2,816,007,504.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.