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Finding the Third Proportional to 515,782 and 1,121,236

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Solution

The third proportional to 515,782 and 1,121,236 is: 2,437,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,782 : 1,121,236 = 1,121,236 : x
  2. Step 2: Convert to fraction form
    515,782/1,121,236 = 1,121,236/x
  3. Step 3: Cross multiply
    515,782x = 1,121,236 × 1,121,236
  4. Step 4: Simplify right side
    515,782x = 1,257,170,167,696
  5. Step 5: Solve for x
    x = 1,257,170,167,696/515,782
  6. Step 6: Final answer
    x = 2,437,406.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.