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Finding the Third Proportional to 542,770 and 1,186,141

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Solution

The third proportional to 542,770 and 1,186,141 is: 2,592,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,770 : 1,186,141 = 1,186,141 : x
  2. Step 2: Convert to fraction form
    542,770/1,186,141 = 1,186,141/x
  3. Step 3: Cross multiply
    542,770x = 1,186,141 × 1,186,141
  4. Step 4: Simplify right side
    542,770x = 1,406,930,471,881
  5. Step 5: Solve for x
    x = 1,406,930,471,881/542,770
  6. Step 6: Final answer
    x = 2,592,130.13

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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.