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Finding the Third Proportional to 504,678 and 1,066,221

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Solution

The third proportional to 504,678 and 1,066,221 is: 2,252,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,678 : 1,066,221 = 1,066,221 : x
  2. Step 2: Convert to fraction form
    504,678/1,066,221 = 1,066,221/x
  3. Step 3: Cross multiply
    504,678x = 1,066,221 × 1,066,221
  4. Step 4: Simplify right side
    504,678x = 1,136,827,220,841
  5. Step 5: Solve for x
    x = 1,136,827,220,841/504,678
  6. Step 6: Final answer
    x = 2,252,579.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.