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Finding the Third Proportional to 520,864 and 1,115,456

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Solution

The third proportional to 520,864 and 1,115,456 is: 2,388,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,864 : 1,115,456 = 1,115,456 : x
  2. Step 2: Convert to fraction form
    520,864/1,115,456 = 1,115,456/x
  3. Step 3: Cross multiply
    520,864x = 1,115,456 × 1,115,456
  4. Step 4: Simplify right side
    520,864x = 1,244,242,087,936
  5. Step 5: Solve for x
    x = 1,244,242,087,936/520,864
  6. Step 6: Final answer
    x = 2,388,804.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.