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Finding the Third Proportional to 560,844 and 1,223,187

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Solution

The third proportional to 560,844 and 1,223,187 is: 2,667,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,844 : 1,223,187 = 1,223,187 : x
  2. Step 2: Convert to fraction form
    560,844/1,223,187 = 1,223,187/x
  3. Step 3: Cross multiply
    560,844x = 1,223,187 × 1,223,187
  4. Step 4: Simplify right side
    560,844x = 1,496,186,436,969
  5. Step 5: Solve for x
    x = 1,496,186,436,969/560,844
  6. Step 6: Final answer
    x = 2,667,740.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.