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Finding the Third Proportional to 525,986 and 854,547

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Solution

The third proportional to 525,986 and 854,547 is: 1,388,346.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,986 : 854,547 = 854,547 : x
  2. Step 2: Convert to fraction form
    525,986/854,547 = 854,547/x
  3. Step 3: Cross multiply
    525,986x = 854,547 × 854,547
  4. Step 4: Simplify right side
    525,986x = 730,250,575,209
  5. Step 5: Solve for x
    x = 730,250,575,209/525,986
  6. Step 6: Final answer
    x = 1,388,346.03

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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.