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Finding the Third Proportional to 1,028,074,634 and 1,566,216,980

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Solution

The third proportional to 1,028,074,634 and 1,566,216,980 is: 2,386,048,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,074,634 : 1,566,216,980 = 1,566,216,980 : x
  2. Step 2: Convert to fraction form
    1,028,074,634/1,566,216,980 = 1,566,216,980/x
  3. Step 3: Cross multiply
    1,028,074,634x = 1,566,216,980 × 1,566,216,980
  4. Step 4: Simplify right side
    1,028,074,634x = 2,453,035,628,440,320,512
  5. Step 5: Solve for x
    x = 2,453,035,628,440,320,512/1,028,074,634
  6. Step 6: Final answer
    x = 2,386,048,198.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.