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Finding the Third Proportional to 977,986 and 1,496,027

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Solution

The third proportional to 977,986 and 1,496,027 is: 2,288,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,986 : 1,496,027 = 1,496,027 : x
  2. Step 2: Convert to fraction form
    977,986/1,496,027 = 1,496,027/x
  3. Step 3: Cross multiply
    977,986x = 1,496,027 × 1,496,027
  4. Step 4: Simplify right side
    977,986x = 2,238,096,784,729
  5. Step 5: Solve for x
    x = 2,238,096,784,729/977,986
  6. Step 6: Final answer
    x = 2,288,475.28

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