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Finding the Third Proportional to 502,809,704 and 1,082,464,018

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Solution

The third proportional to 502,809,704 and 1,082,464,018 is: 2,330,361,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,809,704 : 1,082,464,018 = 1,082,464,018 : x
  2. Step 2: Convert to fraction form
    502,809,704/1,082,464,018 = 1,082,464,018/x
  3. Step 3: Cross multiply
    502,809,704x = 1,082,464,018 × 1,082,464,018
  4. Step 4: Simplify right side
    502,809,704x = 1,171,728,350,264,704,256
  5. Step 5: Solve for x
    x = 1,171,728,350,264,704,256/502,809,704
  6. Step 6: Final answer
    x = 2,330,361,448.76

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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.