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Finding the Third Proportional to 499,014 and 1,079,964

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Solution

The third proportional to 499,014 and 1,079,964 is: 2,337,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,014 : 1,079,964 = 1,079,964 : x
  2. Step 2: Convert to fraction form
    499,014/1,079,964 = 1,079,964/x
  3. Step 3: Cross multiply
    499,014x = 1,079,964 × 1,079,964
  4. Step 4: Simplify right side
    499,014x = 1,166,322,241,296
  5. Step 5: Solve for x
    x = 1,166,322,241,296/499,014
  6. Step 6: Final answer
    x = 2,337,253.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.