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Finding the Third Proportional to 977,231 and 1,494,903

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Solution

The third proportional to 977,231 and 1,494,903 is: 2,286,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,231 : 1,494,903 = 1,494,903 : x
  2. Step 2: Convert to fraction form
    977,231/1,494,903 = 1,494,903/x
  3. Step 3: Cross multiply
    977,231x = 1,494,903 × 1,494,903
  4. Step 4: Simplify right side
    977,231x = 2,234,734,979,409
  5. Step 5: Solve for x
    x = 2,234,734,979,409/977,231
  6. Step 6: Final answer
    x = 2,286,803.20

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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.