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Finding the Third Proportional to 397,622 and 854,572

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Solution

The third proportional to 397,622 and 854,572 is: 1,836,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,622 : 854,572 = 854,572 : x
  2. Step 2: Convert to fraction form
    397,622/854,572 = 854,572/x
  3. Step 3: Cross multiply
    397,622x = 854,572 × 854,572
  4. Step 4: Simplify right side
    397,622x = 730,293,303,184
  5. Step 5: Solve for x
    x = 730,293,303,184/397,622
  6. Step 6: Final answer
    x = 1,836,652.16

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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.