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Finding the Third Proportional to 516,890 and 1,096,402

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Solution

The third proportional to 516,890 and 1,096,402 is: 2,325,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,890 : 1,096,402 = 1,096,402 : x
  2. Step 2: Convert to fraction form
    516,890/1,096,402 = 1,096,402/x
  3. Step 3: Cross multiply
    516,890x = 1,096,402 × 1,096,402
  4. Step 4: Simplify right side
    516,890x = 1,202,097,345,604
  5. Step 5: Solve for x
    x = 1,202,097,345,604/516,890
  6. Step 6: Final answer
    x = 2,325,634.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.