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Finding the Third Proportional to 490,361,074 and 1,066,814,916

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Solution

The third proportional to 490,361,074 and 1,066,814,916 is: 2,320,930,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,361,074 : 1,066,814,916 = 1,066,814,916 : x
  2. Step 2: Convert to fraction form
    490,361,074/1,066,814,916 = 1,066,814,916/x
  3. Step 3: Cross multiply
    490,361,074x = 1,066,814,916 × 1,066,814,916
  4. Step 4: Simplify right side
    490,361,074x = 1,138,094,065,000,087,040
  5. Step 5: Solve for x
    x = 1,138,094,065,000,087,040/490,361,074
  6. Step 6: Final answer
    x = 2,320,930,688.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.