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Finding the Third Proportional to 535,426 and 1,168,519

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Solution

The third proportional to 535,426 and 1,168,519 is: 2,550,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,426 : 1,168,519 = 1,168,519 : x
  2. Step 2: Convert to fraction form
    535,426/1,168,519 = 1,168,519/x
  3. Step 3: Cross multiply
    535,426x = 1,168,519 × 1,168,519
  4. Step 4: Simplify right side
    535,426x = 1,365,436,653,361
  5. Step 5: Solve for x
    x = 1,365,436,653,361/535,426
  6. Step 6: Final answer
    x = 2,550,187.43

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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.