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Finding the Third Proportional to 540,313 and 1,250,727

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Solution

The third proportional to 540,313 and 1,250,727 is: 2,895,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,313 : 1,250,727 = 1,250,727 : x
  2. Step 2: Convert to fraction form
    540,313/1,250,727 = 1,250,727/x
  3. Step 3: Cross multiply
    540,313x = 1,250,727 × 1,250,727
  4. Step 4: Simplify right side
    540,313x = 1,564,318,028,529
  5. Step 5: Solve for x
    x = 1,564,318,028,529/540,313
  6. Step 6: Final answer
    x = 2,895,207.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.