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Finding the Third Proportional to 977,227 and 1,494,897

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Solution

The third proportional to 977,227 and 1,494,897 is: 2,286,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,227 : 1,494,897 = 1,494,897 : x
  2. Step 2: Convert to fraction form
    977,227/1,494,897 = 1,494,897/x
  3. Step 3: Cross multiply
    977,227x = 1,494,897 × 1,494,897
  4. Step 4: Simplify right side
    977,227x = 2,234,717,040,609
  5. Step 5: Solve for x
    x = 2,234,717,040,609/977,227
  6. Step 6: Final answer
    x = 2,286,794.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.