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Finding the Third Proportional to 516,106 and 1,115,251

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Solution

The third proportional to 516,106 and 1,115,251 is: 2,409,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,106 : 1,115,251 = 1,115,251 : x
  2. Step 2: Convert to fraction form
    516,106/1,115,251 = 1,115,251/x
  3. Step 3: Cross multiply
    516,106x = 1,115,251 × 1,115,251
  4. Step 4: Simplify right side
    516,106x = 1,243,784,793,001
  5. Step 5: Solve for x
    x = 1,243,784,793,001/516,106
  6. Step 6: Final answer
    x = 2,409,940.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.