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Finding the Third Proportional to 545,754.75 and 1,148,058

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Solution

The third proportional to 545,754.75 and 1,148,058 is: 2,415,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,754.75 : 1,148,058 = 1,148,058 : x
  2. Step 2: Convert to fraction form
    545,754.75/1,148,058 = 1,148,058/x
  3. Step 3: Cross multiply
    545,754.75x = 1,148,058 × 1,148,058
  4. Step 4: Simplify right side
    545,754.75x = 1,318,037,171,364
  5. Step 5: Solve for x
    x = 1,318,037,171,364/545,754.75
  6. Step 6: Final answer
    x = 2,415,072.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.