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Finding the Third Proportional to 443,828 and 958,473

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Solution

The third proportional to 443,828 and 958,473 is: 2,069,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,828 : 958,473 = 958,473 : x
  2. Step 2: Convert to fraction form
    443,828/958,473 = 958,473/x
  3. Step 3: Cross multiply
    443,828x = 958,473 × 958,473
  4. Step 4: Simplify right side
    443,828x = 918,670,491,729
  5. Step 5: Solve for x
    x = 918,670,491,729/443,828
  6. Step 6: Final answer
    x = 2,069,879.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.