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Finding the Third Proportional to 542,808 and 1,186,191

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Solution

The third proportional to 542,808 and 1,186,191 is: 2,592,167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,808 : 1,186,191 = 1,186,191 : x
  2. Step 2: Convert to fraction form
    542,808/1,186,191 = 1,186,191/x
  3. Step 3: Cross multiply
    542,808x = 1,186,191 × 1,186,191
  4. Step 4: Simplify right side
    542,808x = 1,407,049,088,481
  5. Step 5: Solve for x
    x = 1,407,049,088,481/542,808
  6. Step 6: Final answer
    x = 2,592,167.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.