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Finding the Third Proportional to 540,744 and 841,680

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Solution

The third proportional to 540,744 and 841,680 is: 1,310,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,744 : 841,680 = 841,680 : x
  2. Step 2: Convert to fraction form
    540,744/841,680 = 841,680/x
  3. Step 3: Cross multiply
    540,744x = 841,680 × 841,680
  4. Step 4: Simplify right side
    540,744x = 708,425,222,400
  5. Step 5: Solve for x
    x = 708,425,222,400/540,744
  6. Step 6: Final answer
    x = 1,310,093.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.