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Finding the Third Proportional to 510,864 and 1,110,152

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Solution

The third proportional to 510,864 and 1,110,152 is: 2,412,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,864 : 1,110,152 = 1,110,152 : x
  2. Step 2: Convert to fraction form
    510,864/1,110,152 = 1,110,152/x
  3. Step 3: Cross multiply
    510,864x = 1,110,152 × 1,110,152
  4. Step 4: Simplify right side
    510,864x = 1,232,437,463,104
  5. Step 5: Solve for x
    x = 1,232,437,463,104/510,864
  6. Step 6: Final answer
    x = 2,412,457.06

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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.