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Finding the Third Proportional to 490,344,644 and 1,055,082,284

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Solution

The third proportional to 490,344,644 and 1,055,082,284 is: 2,270,237,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,344,644 : 1,055,082,284 = 1,055,082,284 : x
  2. Step 2: Convert to fraction form
    490,344,644/1,055,082,284 = 1,055,082,284/x
  3. Step 3: Cross multiply
    490,344,644x = 1,055,082,284 × 1,055,082,284
  4. Step 4: Simplify right side
    490,344,644x = 1,113,198,626,010,656,640
  5. Step 5: Solve for x
    x = 1,113,198,626,010,656,640/490,344,644
  6. Step 6: Final answer
    x = 2,270,237,147.75

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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.