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Finding the Third Proportional to 593,072 and 917,976

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Solution

The third proportional to 593,072 and 917,976 is: 1,420,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,072 : 917,976 = 917,976 : x
  2. Step 2: Convert to fraction form
    593,072/917,976 = 917,976/x
  3. Step 3: Cross multiply
    593,072x = 917,976 × 917,976
  4. Step 4: Simplify right side
    593,072x = 842,679,936,576
  5. Step 5: Solve for x
    x = 842,679,936,576/593,072
  6. Step 6: Final answer
    x = 1,420,872.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.