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Finding the Third Proportional to 560,133 and 1,229,112

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Solution

The third proportional to 560,133 and 1,229,112 is: 2,697,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,133 : 1,229,112 = 1,229,112 : x
  2. Step 2: Convert to fraction form
    560,133/1,229,112 = 1,229,112/x
  3. Step 3: Cross multiply
    560,133x = 1,229,112 × 1,229,112
  4. Step 4: Simplify right side
    560,133x = 1,510,716,308,544
  5. Step 5: Solve for x
    x = 1,510,716,308,544/560,133
  6. Step 6: Final answer
    x = 2,697,067.14

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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.