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Finding the Third Proportional to 496,904 and 1,072,912

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Solution

The third proportional to 496,904 and 1,072,912 is: 2,316,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,904 : 1,072,912 = 1,072,912 : x
  2. Step 2: Convert to fraction form
    496,904/1,072,912 = 1,072,912/x
  3. Step 3: Cross multiply
    496,904x = 1,072,912 × 1,072,912
  4. Step 4: Simplify right side
    496,904x = 1,151,140,159,744
  5. Step 5: Solve for x
    x = 1,151,140,159,744/496,904
  6. Step 6: Final answer
    x = 2,316,624.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.