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Finding the Third Proportional to 545,541 and 1,184,394

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Solution

The third proportional to 545,541 and 1,184,394 is: 2,571,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,541 : 1,184,394 = 1,184,394 : x
  2. Step 2: Convert to fraction form
    545,541/1,184,394 = 1,184,394/x
  3. Step 3: Cross multiply
    545,541x = 1,184,394 × 1,184,394
  4. Step 4: Simplify right side
    545,541x = 1,402,789,147,236
  5. Step 5: Solve for x
    x = 1,402,789,147,236/545,541
  6. Step 6: Final answer
    x = 2,571,372.54

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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.