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Finding the Third Proportional to 1,024,818 and 1,459,876

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Solution

The third proportional to 1,024,818 and 1,459,876 is: 2,079,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,818 : 1,459,876 = 1,459,876 : x
  2. Step 2: Convert to fraction form
    1,024,818/1,459,876 = 1,459,876/x
  3. Step 3: Cross multiply
    1,024,818x = 1,459,876 × 1,459,876
  4. Step 4: Simplify right side
    1,024,818x = 2,131,237,935,376
  5. Step 5: Solve for x
    x = 2,131,237,935,376/1,024,818
  6. Step 6: Final answer
    x = 2,079,625.78

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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.