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Finding the Third Proportional to 510,752 and 1,109,956

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Solution

The third proportional to 510,752 and 1,109,956 is: 2,412,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,752 : 1,109,956 = 1,109,956 : x
  2. Step 2: Convert to fraction form
    510,752/1,109,956 = 1,109,956/x
  3. Step 3: Cross multiply
    510,752x = 1,109,956 × 1,109,956
  4. Step 4: Simplify right side
    510,752x = 1,232,002,321,936
  5. Step 5: Solve for x
    x = 1,232,002,321,936/510,752
  6. Step 6: Final answer
    x = 2,412,134.11

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