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Finding the Third Proportional to 514,160 and 1,107,268

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Solution

The third proportional to 514,160 and 1,107,268 is: 2,384,554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,160 : 1,107,268 = 1,107,268 : x
  2. Step 2: Convert to fraction form
    514,160/1,107,268 = 1,107,268/x
  3. Step 3: Cross multiply
    514,160x = 1,107,268 × 1,107,268
  4. Step 4: Simplify right side
    514,160x = 1,226,042,423,824
  5. Step 5: Solve for x
    x = 1,226,042,423,824/514,160
  6. Step 6: Final answer
    x = 2,384,554.27

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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.