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Finding the Third Proportional to 561,980 and 1,223,716

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Solution

The third proportional to 561,980 and 1,223,716 is: 2,664,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,980 : 1,223,716 = 1,223,716 : x
  2. Step 2: Convert to fraction form
    561,980/1,223,716 = 1,223,716/x
  3. Step 3: Cross multiply
    561,980x = 1,223,716 × 1,223,716
  4. Step 4: Simplify right side
    561,980x = 1,497,480,848,656
  5. Step 5: Solve for x
    x = 1,497,480,848,656/561,980
  6. Step 6: Final answer
    x = 2,664,651.50

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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.