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Finding the Third Proportional to 502,809,705 and 1,082,464,020

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Solution

The third proportional to 502,809,705 and 1,082,464,020 is: 2,330,361,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,809,705 : 1,082,464,020 = 1,082,464,020 : x
  2. Step 2: Convert to fraction form
    502,809,705/1,082,464,020 = 1,082,464,020/x
  3. Step 3: Cross multiply
    502,809,705x = 1,082,464,020 × 1,082,464,020
  4. Step 4: Simplify right side
    502,809,705x = 1,171,728,354,594,560,512
  5. Step 5: Solve for x
    x = 1,171,728,354,594,560,512/502,809,705
  6. Step 6: Final answer
    x = 2,330,361,452.74

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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.