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Finding the Third Proportional to 534,467 and 1,113,160

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Solution

The third proportional to 534,467 and 1,113,160 is: 2,318,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,467 : 1,113,160 = 1,113,160 : x
  2. Step 2: Convert to fraction form
    534,467/1,113,160 = 1,113,160/x
  3. Step 3: Cross multiply
    534,467x = 1,113,160 × 1,113,160
  4. Step 4: Simplify right side
    534,467x = 1,239,125,185,600
  5. Step 5: Solve for x
    x = 1,239,125,185,600/534,467
  6. Step 6: Final answer
    x = 2,318,431.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.