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Finding the Third Proportional to 504,677 and 1,066,219

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Solution

The third proportional to 504,677 and 1,066,219 is: 2,252,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,677 : 1,066,219 = 1,066,219 : x
  2. Step 2: Convert to fraction form
    504,677/1,066,219 = 1,066,219/x
  3. Step 3: Cross multiply
    504,677x = 1,066,219 × 1,066,219
  4. Step 4: Simplify right side
    504,677x = 1,136,822,955,961
  5. Step 5: Solve for x
    x = 1,136,822,955,961/504,677
  6. Step 6: Final answer
    x = 2,252,575.32

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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.