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Finding the Third Proportional to 479,914 and 1,050,223

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Solution

The third proportional to 479,914 and 1,050,223 is: 2,298,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,914 : 1,050,223 = 1,050,223 : x
  2. Step 2: Convert to fraction form
    479,914/1,050,223 = 1,050,223/x
  3. Step 3: Cross multiply
    479,914x = 1,050,223 × 1,050,223
  4. Step 4: Simplify right side
    479,914x = 1,102,968,349,729
  5. Step 5: Solve for x
    x = 1,102,968,349,729/479,914
  6. Step 6: Final answer
    x = 2,298,262.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.