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Finding the Third Proportional to 828,069 and 1,246,250

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Solution

The third proportional to 828,069 and 1,246,250 is: 1,875,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,069 : 1,246,250 = 1,246,250 : x
  2. Step 2: Convert to fraction form
    828,069/1,246,250 = 1,246,250/x
  3. Step 3: Cross multiply
    828,069x = 1,246,250 × 1,246,250
  4. Step 4: Simplify right side
    828,069x = 1,553,139,062,500
  5. Step 5: Solve for x
    x = 1,553,139,062,500/828,069
  6. Step 6: Final answer
    x = 1,875,615.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.