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Finding the Third Proportional to 502,809,706 and 1,082,464,022

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Solution

The third proportional to 502,809,706 and 1,082,464,022 is: 2,330,361,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,809,706 : 1,082,464,022 = 1,082,464,022 : x
  2. Step 2: Convert to fraction form
    502,809,706/1,082,464,022 = 1,082,464,022/x
  3. Step 3: Cross multiply
    502,809,706x = 1,082,464,022 × 1,082,464,022
  4. Step 4: Simplify right side
    502,809,706x = 1,171,728,358,924,416,512
  5. Step 5: Solve for x
    x = 1,171,728,358,924,416,512/502,809,706
  6. Step 6: Final answer
    x = 2,330,361,456.71

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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.