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Finding the Third Proportional to 525,896 and 854,418

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Solution

The third proportional to 525,896 and 854,418 is: 1,388,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,896 : 854,418 = 854,418 : x
  2. Step 2: Convert to fraction form
    525,896/854,418 = 854,418/x
  3. Step 3: Cross multiply
    525,896x = 854,418 × 854,418
  4. Step 4: Simplify right side
    525,896x = 730,030,118,724
  5. Step 5: Solve for x
    x = 730,030,118,724/525,896
  6. Step 6: Final answer
    x = 1,388,164.43

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.