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Finding the Third Proportional to 977,245 and 1,494,927

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Solution

The third proportional to 977,245 and 1,494,927 is: 2,286,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,245 : 1,494,927 = 1,494,927 : x
  2. Step 2: Convert to fraction form
    977,245/1,494,927 = 1,494,927/x
  3. Step 3: Cross multiply
    977,245x = 1,494,927 × 1,494,927
  4. Step 4: Simplify right side
    977,245x = 2,234,806,735,329
  5. Step 5: Solve for x
    x = 2,234,806,735,329/977,245
  6. Step 6: Final answer
    x = 2,286,843.87

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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.