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Finding the Third Proportional to 500,998,065 and 1,036,362,649

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Solution

The third proportional to 500,998,065 and 1,036,362,649 is: 2,143,815,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,998,065 : 1,036,362,649 = 1,036,362,649 : x
  2. Step 2: Convert to fraction form
    500,998,065/1,036,362,649 = 1,036,362,649/x
  3. Step 3: Cross multiply
    500,998,065x = 1,036,362,649 × 1,036,362,649
  4. Step 4: Simplify right side
    500,998,065x = 1,074,047,540,242,297,216
  5. Step 5: Solve for x
    x = 1,074,047,540,242,297,216/500,998,065
  6. Step 6: Final answer
    x = 2,143,815,745.56

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.