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Finding the Third Proportional to 546,009 and 826,650

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Solution

The third proportional to 546,009 and 826,650 is: 1,251,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,009 : 826,650 = 826,650 : x
  2. Step 2: Convert to fraction form
    546,009/826,650 = 826,650/x
  3. Step 3: Cross multiply
    546,009x = 826,650 × 826,650
  4. Step 4: Simplify right side
    546,009x = 683,350,222,500
  5. Step 5: Solve for x
    x = 683,350,222,500/546,009
  6. Step 6: Final answer
    x = 1,251,536.55

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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.