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Finding the Third Proportional to 536,670 and 1,172,848

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Solution

The third proportional to 536,670 and 1,172,848 is: 2,563,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,670 : 1,172,848 = 1,172,848 : x
  2. Step 2: Convert to fraction form
    536,670/1,172,848 = 1,172,848/x
  3. Step 3: Cross multiply
    536,670x = 1,172,848 × 1,172,848
  4. Step 4: Simplify right side
    536,670x = 1,375,572,431,104
  5. Step 5: Solve for x
    x = 1,375,572,431,104/536,670
  6. Step 6: Final answer
    x = 2,563,162.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.