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Finding the Third Proportional to 502,809,716 and 1,082,464,042

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Solution

The third proportional to 502,809,716 and 1,082,464,042 is: 2,330,361,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,809,716 : 1,082,464,042 = 1,082,464,042 : x
  2. Step 2: Convert to fraction form
    502,809,716/1,082,464,042 = 1,082,464,042/x
  3. Step 3: Cross multiply
    502,809,716x = 1,082,464,042 × 1,082,464,042
  4. Step 4: Simplify right side
    502,809,716x = 1,171,728,402,222,977,792
  5. Step 5: Solve for x
    x = 1,171,728,402,222,977,792/502,809,716
  6. Step 6: Final answer
    x = 2,330,361,496.48

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