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Finding the Third Proportional to 545,536 and 1,185,501

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Solution

The third proportional to 545,536 and 1,185,501 is: 2,576,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,536 : 1,185,501 = 1,185,501 : x
  2. Step 2: Convert to fraction form
    545,536/1,185,501 = 1,185,501/x
  3. Step 3: Cross multiply
    545,536x = 1,185,501 × 1,185,501
  4. Step 4: Simplify right side
    545,536x = 1,405,412,621,001
  5. Step 5: Solve for x
    x = 1,405,412,621,001/545,536
  6. Step 6: Final answer
    x = 2,576,205.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.