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Finding the Third Proportional to 502,996 and 1,077,976

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Solution

The third proportional to 502,996 and 1,077,976 is: 2,310,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,996 : 1,077,976 = 1,077,976 : x
  2. Step 2: Convert to fraction form
    502,996/1,077,976 = 1,077,976/x
  3. Step 3: Cross multiply
    502,996x = 1,077,976 × 1,077,976
  4. Step 4: Simplify right side
    502,996x = 1,162,032,256,576
  5. Step 5: Solve for x
    x = 1,162,032,256,576/502,996
  6. Step 6: Final answer
    x = 2,310,221.66

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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.