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Finding the Third Proportional to 1,023,449,871 and 1,496,792,889

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Solution

The third proportional to 1,023,449,871 and 1,496,792,889 is: 2,189,055,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,449,871 : 1,496,792,889 = 1,496,792,889 : x
  2. Step 2: Convert to fraction form
    1,023,449,871/1,496,792,889 = 1,496,792,889/x
  3. Step 3: Cross multiply
    1,023,449,871x = 1,496,792,889 × 1,496,792,889
  4. Step 4: Simplify right side
    1,023,449,871x = 2,240,388,952,560,966,400
  5. Step 5: Solve for x
    x = 2,240,388,952,560,966,400/1,023,449,871
  6. Step 6: Final answer
    x = 2,189,055,874.69

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.