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Finding the Third Proportional to 489,450 and 1,083,714

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Solution

The third proportional to 489,450 and 1,083,714 is: 2,399,501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,450 : 1,083,714 = 1,083,714 : x
  2. Step 2: Convert to fraction form
    489,450/1,083,714 = 1,083,714/x
  3. Step 3: Cross multiply
    489,450x = 1,083,714 × 1,083,714
  4. Step 4: Simplify right side
    489,450x = 1,174,436,033,796
  5. Step 5: Solve for x
    x = 1,174,436,033,796/489,450
  6. Step 6: Final answer
    x = 2,399,501.55

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.