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Finding the Third Proportional to 1,024,816 and 1,459,873

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Solution

The third proportional to 1,024,816 and 1,459,873 is: 2,079,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,816 : 1,459,873 = 1,459,873 : x
  2. Step 2: Convert to fraction form
    1,024,816/1,459,873 = 1,459,873/x
  3. Step 3: Cross multiply
    1,024,816x = 1,459,873 × 1,459,873
  4. Step 4: Simplify right side
    1,024,816x = 2,131,229,176,129
  5. Step 5: Solve for x
    x = 2,131,229,176,129/1,024,816
  6. Step 6: Final answer
    x = 2,079,621.29

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Why These Related Problems?

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