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Finding the Third Proportional to 977,229 and 1,494,906.75

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Solution

The third proportional to 977,229 and 1,494,906.75 is: 2,286,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,229 : 1,494,906.75 = 1,494,906.75 : x
  2. Step 2: Convert to fraction form
    977,229/1,494,906.75 = 1,494,906.75/x
  3. Step 3: Cross multiply
    977,229x = 1,494,906.75 × 1,494,906.75
  4. Step 4: Simplify right side
    977,229x = 2,234,746,191,195.56
  5. Step 5: Solve for x
    x = 2,234,746,191,195.56/977,229
  6. Step 6: Final answer
    x = 2,286,819.35

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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.