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Finding the Third Proportional to 566,222 and 1,226,908

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Solution

The third proportional to 566,222 and 1,226,908 is: 2,658,503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,222 : 1,226,908 = 1,226,908 : x
  2. Step 2: Convert to fraction form
    566,222/1,226,908 = 1,226,908/x
  3. Step 3: Cross multiply
    566,222x = 1,226,908 × 1,226,908
  4. Step 4: Simplify right side
    566,222x = 1,505,303,240,464
  5. Step 5: Solve for x
    x = 1,505,303,240,464/566,222
  6. Step 6: Final answer
    x = 2,658,503.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.