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Finding the Third Proportional to 564,757 and 1,211,405

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Solution

The third proportional to 564,757 and 1,211,405 is: 2,598,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,757 : 1,211,405 = 1,211,405 : x
  2. Step 2: Convert to fraction form
    564,757/1,211,405 = 1,211,405/x
  3. Step 3: Cross multiply
    564,757x = 1,211,405 × 1,211,405
  4. Step 4: Simplify right side
    564,757x = 1,467,502,074,025
  5. Step 5: Solve for x
    x = 1,467,502,074,025/564,757
  6. Step 6: Final answer
    x = 2,598,466.37

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