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Finding the Third Proportional to 546,117 and 819,176

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Solution

The third proportional to 546,117 and 819,176 is: 1,228,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,117 : 819,176 = 819,176 : x
  2. Step 2: Convert to fraction form
    546,117/819,176 = 819,176/x
  3. Step 3: Cross multiply
    546,117x = 819,176 × 819,176
  4. Step 4: Simplify right side
    546,117x = 671,049,318,976
  5. Step 5: Solve for x
    x = 671,049,318,976/546,117
  6. Step 6: Final answer
    x = 1,228,764.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.