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Finding the Third Proportional to 546,193 and 1,118,624

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Solution

The third proportional to 546,193 and 1,118,624 is: 2,290,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,193 : 1,118,624 = 1,118,624 : x
  2. Step 2: Convert to fraction form
    546,193/1,118,624 = 1,118,624/x
  3. Step 3: Cross multiply
    546,193x = 1,118,624 × 1,118,624
  4. Step 4: Simplify right side
    546,193x = 1,251,319,653,376
  5. Step 5: Solve for x
    x = 1,251,319,653,376/546,193
  6. Step 6: Final answer
    x = 2,290,984.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.