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Finding the Third Proportional to 522,044 and 1,139,966

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Solution

The third proportional to 522,044 and 1,139,966 is: 2,489,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,044 : 1,139,966 = 1,139,966 : x
  2. Step 2: Convert to fraction form
    522,044/1,139,966 = 1,139,966/x
  3. Step 3: Cross multiply
    522,044x = 1,139,966 × 1,139,966
  4. Step 4: Simplify right side
    522,044x = 1,299,522,481,156
  5. Step 5: Solve for x
    x = 1,299,522,481,156/522,044
  6. Step 6: Final answer
    x = 2,489,296.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.