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Finding the Third Proportional to 546,007 and 826,647

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Solution

The third proportional to 546,007 and 826,647 is: 1,251,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,007 : 826,647 = 826,647 : x
  2. Step 2: Convert to fraction form
    546,007/826,647 = 826,647/x
  3. Step 3: Cross multiply
    546,007x = 826,647 × 826,647
  4. Step 4: Simplify right side
    546,007x = 683,345,262,609
  5. Step 5: Solve for x
    x = 683,345,262,609/546,007
  6. Step 6: Final answer
    x = 1,251,532.05

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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.