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Finding the Third Proportional to 546,016 and 826,664

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Solution

The third proportional to 546,016 and 826,664 is: 1,251,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,016 : 826,664 = 826,664 : x
  2. Step 2: Convert to fraction form
    546,016/826,664 = 826,664/x
  3. Step 3: Cross multiply
    546,016x = 826,664 × 826,664
  4. Step 4: Simplify right side
    546,016x = 683,373,368,896
  5. Step 5: Solve for x
    x = 683,373,368,896/546,016
  6. Step 6: Final answer
    x = 1,251,562.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.