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Finding the Third Proportional to 564,576 and 1,211,016

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Solution

The third proportional to 564,576 and 1,211,016 is: 2,597,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,576 : 1,211,016 = 1,211,016 : x
  2. Step 2: Convert to fraction form
    564,576/1,211,016 = 1,211,016/x
  3. Step 3: Cross multiply
    564,576x = 1,211,016 × 1,211,016
  4. Step 4: Simplify right side
    564,576x = 1,466,559,752,256
  5. Step 5: Solve for x
    x = 1,466,559,752,256/564,576
  6. Step 6: Final answer
    x = 2,597,630.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.