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Finding the Third Proportional to 490,557,720 and 1,068,206,640

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Solution

The third proportional to 490,557,720 and 1,068,206,640 is: 2,326,057,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,557,720 : 1,068,206,640 = 1,068,206,640 : x
  2. Step 2: Convert to fraction form
    490,557,720/1,068,206,640 = 1,068,206,640/x
  3. Step 3: Cross multiply
    490,557,720x = 1,068,206,640 × 1,068,206,640
  4. Step 4: Simplify right side
    490,557,720x = 1,141,065,425,740,089,600
  5. Step 5: Solve for x
    x = 1,141,065,425,740,089,600/490,557,720
  6. Step 6: Final answer
    x = 2,326,057,422.44

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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.