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Finding the Third Proportional to 514,154 and 1,107,256

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Solution

The third proportional to 514,154 and 1,107,256 is: 2,384,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,154 : 1,107,256 = 1,107,256 : x
  2. Step 2: Convert to fraction form
    514,154/1,107,256 = 1,107,256/x
  3. Step 3: Cross multiply
    514,154x = 1,107,256 × 1,107,256
  4. Step 4: Simplify right side
    514,154x = 1,226,015,849,536
  5. Step 5: Solve for x
    x = 1,226,015,849,536/514,154
  6. Step 6: Final answer
    x = 2,384,530.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.