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Finding the Third Proportional to 542,630 and 1,178,671

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Solution

The third proportional to 542,630 and 1,178,671 is: 2,560,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,630 : 1,178,671 = 1,178,671 : x
  2. Step 2: Convert to fraction form
    542,630/1,178,671 = 1,178,671/x
  3. Step 3: Cross multiply
    542,630x = 1,178,671 × 1,178,671
  4. Step 4: Simplify right side
    542,630x = 1,389,265,326,241
  5. Step 5: Solve for x
    x = 1,389,265,326,241/542,630
  6. Step 6: Final answer
    x = 2,560,244.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.