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Finding the Third Proportional to 522,083 and 1,105,938

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Solution

The third proportional to 522,083 and 1,105,938 is: 2,342,728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,083 : 1,105,938 = 1,105,938 : x
  2. Step 2: Convert to fraction form
    522,083/1,105,938 = 1,105,938/x
  3. Step 3: Cross multiply
    522,083x = 1,105,938 × 1,105,938
  4. Step 4: Simplify right side
    522,083x = 1,223,098,859,844
  5. Step 5: Solve for x
    x = 1,223,098,859,844/522,083
  6. Step 6: Final answer
    x = 2,342,728.76

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.