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Finding the Third Proportional to 977,236 and 1,494,920

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Solution

The third proportional to 977,236 and 1,494,920 is: 2,286,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,236 : 1,494,920 = 1,494,920 : x
  2. Step 2: Convert to fraction form
    977,236/1,494,920 = 1,494,920/x
  3. Step 3: Cross multiply
    977,236x = 1,494,920 × 1,494,920
  4. Step 4: Simplify right side
    977,236x = 2,234,785,806,400
  5. Step 5: Solve for x
    x = 2,234,785,806,400/977,236
  6. Step 6: Final answer
    x = 2,286,843.51

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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.