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Finding the Third Proportional to 504,416 and 1,107,112

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Solution

The third proportional to 504,416 and 1,107,112 is: 2,429,932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,416 : 1,107,112 = 1,107,112 : x
  2. Step 2: Convert to fraction form
    504,416/1,107,112 = 1,107,112/x
  3. Step 3: Cross multiply
    504,416x = 1,107,112 × 1,107,112
  4. Step 4: Simplify right side
    504,416x = 1,225,696,980,544
  5. Step 5: Solve for x
    x = 1,225,696,980,544/504,416
  6. Step 6: Final answer
    x = 2,429,932.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.