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Finding the Third Proportional to 546,318 and 857,015

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Solution

The third proportional to 546,318 and 857,015 is: 1,344,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,318 : 857,015 = 857,015 : x
  2. Step 2: Convert to fraction form
    546,318/857,015 = 857,015/x
  3. Step 3: Cross multiply
    546,318x = 857,015 × 857,015
  4. Step 4: Simplify right side
    546,318x = 734,474,710,225
  5. Step 5: Solve for x
    x = 734,474,710,225/546,318
  6. Step 6: Final answer
    x = 1,344,408.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.