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Finding the Third Proportional to 516,257 and 1,107,247

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Solution

The third proportional to 516,257 and 1,107,247 is: 2,374,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,257 : 1,107,247 = 1,107,247 : x
  2. Step 2: Convert to fraction form
    516,257/1,107,247 = 1,107,247/x
  3. Step 3: Cross multiply
    516,257x = 1,107,247 × 1,107,247
  4. Step 4: Simplify right side
    516,257x = 1,225,995,919,009
  5. Step 5: Solve for x
    x = 1,225,995,919,009/516,257
  6. Step 6: Final answer
    x = 2,374,778.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.