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Finding the Third Proportional to 1,023,841 and 1,515,615

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Solution

The third proportional to 1,023,841 and 1,515,615 is: 2,243,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,841 : 1,515,615 = 1,515,615 : x
  2. Step 2: Convert to fraction form
    1,023,841/1,515,615 = 1,515,615/x
  3. Step 3: Cross multiply
    1,023,841x = 1,515,615 × 1,515,615
  4. Step 4: Simplify right side
    1,023,841x = 2,297,088,828,225
  5. Step 5: Solve for x
    x = 2,297,088,828,225/1,023,841
  6. Step 6: Final answer
    x = 2,243,599.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.