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Finding the Third Proportional to 546,012 and 826,655

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Solution

The third proportional to 546,012 and 826,655 is: 1,251,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,012 : 826,655 = 826,655 : x
  2. Step 2: Convert to fraction form
    546,012/826,655 = 826,655/x
  3. Step 3: Cross multiply
    546,012x = 826,655 × 826,655
  4. Step 4: Simplify right side
    546,012x = 683,358,489,025
  5. Step 5: Solve for x
    x = 683,358,489,025/546,012
  6. Step 6: Final answer
    x = 1,251,544.82

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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.