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Finding the Third Proportional to 546,222.38 and 826,926.19

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Solution

The third proportional to 546,222.38 and 826,926.19 is: 1,251,883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,222.38 : 826,926.19 = 826,926.19 : x
  2. Step 2: Convert to fraction form
    546,222.38/826,926.19 = 826,926.19/x
  3. Step 3: Cross multiply
    546,222.38x = 826,926.19 × 826,926.19
  4. Step 4: Simplify right side
    546,222.38x = 683,806,919,573.29
  5. Step 5: Solve for x
    x = 683,806,919,573.29/546,222.38
  6. Step 6: Final answer
    x = 1,251,883.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.