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Finding the Third Proportional to 542,460 and 789,066

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Solution

The third proportional to 542,460 and 789,066 is: 1,147,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,460 : 789,066 = 789,066 : x
  2. Step 2: Convert to fraction form
    542,460/789,066 = 789,066/x
  3. Step 3: Cross multiply
    542,460x = 789,066 × 789,066
  4. Step 4: Simplify right side
    542,460x = 622,625,152,356
  5. Step 5: Solve for x
    x = 622,625,152,356/542,460
  6. Step 6: Final answer
    x = 1,147,780.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.