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Finding the Third Proportional to 1,024,820 and 1,459,879

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Solution

The third proportional to 1,024,820 and 1,459,879 is: 2,079,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,820 : 1,459,879 = 1,459,879 : x
  2. Step 2: Convert to fraction form
    1,024,820/1,459,879 = 1,459,879/x
  3. Step 3: Cross multiply
    1,024,820x = 1,459,879 × 1,459,879
  4. Step 4: Simplify right side
    1,024,820x = 2,131,246,694,641
  5. Step 5: Solve for x
    x = 2,131,246,694,641/1,024,820
  6. Step 6: Final answer
    x = 2,079,630.27

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.