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Finding the Third Proportional to 535,429 and 1,168,525

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Solution

The third proportional to 535,429 and 1,168,525 is: 2,550,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,429 : 1,168,525 = 1,168,525 : x
  2. Step 2: Convert to fraction form
    535,429/1,168,525 = 1,168,525/x
  3. Step 3: Cross multiply
    535,429x = 1,168,525 × 1,168,525
  4. Step 4: Simplify right side
    535,429x = 1,365,450,675,625
  5. Step 5: Solve for x
    x = 1,365,450,675,625/535,429
  6. Step 6: Final answer
    x = 2,550,199.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.