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Finding the Third Proportional to 542,895 and 1,182,162

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Solution

The third proportional to 542,895 and 1,182,162 is: 2,574,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,895 : 1,182,162 = 1,182,162 : x
  2. Step 2: Convert to fraction form
    542,895/1,182,162 = 1,182,162/x
  3. Step 3: Cross multiply
    542,895x = 1,182,162 × 1,182,162
  4. Step 4: Simplify right side
    542,895x = 1,397,506,994,244
  5. Step 5: Solve for x
    x = 1,397,506,994,244/542,895
  6. Step 6: Final answer
    x = 2,574,175.47

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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.