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Finding the Third Proportional to 564,072 and 1,231,035

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Solution

The third proportional to 564,072 and 1,231,035 is: 2,686,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,072 : 1,231,035 = 1,231,035 : x
  2. Step 2: Convert to fraction form
    564,072/1,231,035 = 1,231,035/x
  3. Step 3: Cross multiply
    564,072x = 1,231,035 × 1,231,035
  4. Step 4: Simplify right side
    564,072x = 1,515,447,171,225
  5. Step 5: Solve for x
    x = 1,515,447,171,225/564,072
  6. Step 6: Final answer
    x = 2,686,620.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.