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Finding the Third Proportional to 545,699 and 1,178,302

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Solution

The third proportional to 545,699 and 1,178,302 is: 2,544,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,699 : 1,178,302 = 1,178,302 : x
  2. Step 2: Convert to fraction form
    545,699/1,178,302 = 1,178,302/x
  3. Step 3: Cross multiply
    545,699x = 1,178,302 × 1,178,302
  4. Step 4: Simplify right side
    545,699x = 1,388,395,603,204
  5. Step 5: Solve for x
    x = 1,388,395,603,204/545,699
  6. Step 6: Final answer
    x = 2,544,251.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.