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Finding the Third Proportional to 1,028,456,577 and 1,566,747,333

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Solution

The third proportional to 1,028,456,577 and 1,566,747,333 is: 2,386,777,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,456,577 : 1,566,747,333 = 1,566,747,333 : x
  2. Step 2: Convert to fraction form
    1,028,456,577/1,566,747,333 = 1,566,747,333/x
  3. Step 3: Cross multiply
    1,028,456,577x = 1,566,747,333 × 1,566,747,333
  4. Step 4: Simplify right side
    1,028,456,577x = 2,454,697,205,462,612,992
  5. Step 5: Solve for x
    x = 2,454,697,205,462,612,992/1,028,456,577
  6. Step 6: Final answer
    x = 2,386,777,682.56

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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.