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Finding the Third Proportional to 496,865.81 and 1,072,418.06

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Solution

The third proportional to 496,865.81 and 1,072,418.06 is: 2,314,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,865.81 : 1,072,418.06 = 1,072,418.06 : x
  2. Step 2: Convert to fraction form
    496,865.81/1,072,418.06 = 1,072,418.06/x
  3. Step 3: Cross multiply
    496,865.81x = 1,072,418.06 × 1,072,418.06
  4. Step 4: Simplify right side
    496,865.81x = 1,150,080,500,776.25
  5. Step 5: Solve for x
    x = 1,150,080,500,776.25/496,865.81
  6. Step 6: Final answer
    x = 2,314,670.22

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Why These Related Problems?

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