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Finding the Third Proportional to 520,873 and 1,105,695

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Solution

The third proportional to 520,873 and 1,105,695 is: 2,347,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,873 : 1,105,695 = 1,105,695 : x
  2. Step 2: Convert to fraction form
    520,873/1,105,695 = 1,105,695/x
  3. Step 3: Cross multiply
    520,873x = 1,105,695 × 1,105,695
  4. Step 4: Simplify right side
    520,873x = 1,222,561,433,025
  5. Step 5: Solve for x
    x = 1,222,561,433,025/520,873
  6. Step 6: Final answer
    x = 2,347,139.19

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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.