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Finding the Third Proportional to 564,048 and 1,239,732

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Solution

The third proportional to 564,048 and 1,239,732 is: 2,724,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,048 : 1,239,732 = 1,239,732 : x
  2. Step 2: Convert to fraction form
    564,048/1,239,732 = 1,239,732/x
  3. Step 3: Cross multiply
    564,048x = 1,239,732 × 1,239,732
  4. Step 4: Simplify right side
    564,048x = 1,536,935,431,824
  5. Step 5: Solve for x
    x = 1,536,935,431,824/564,048
  6. Step 6: Final answer
    x = 2,724,830.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.