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Finding the Third Proportional to 546,098 and 826,779

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Solution

The third proportional to 546,098 and 826,779 is: 1,251,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,098 : 826,779 = 826,779 : x
  2. Step 2: Convert to fraction form
    546,098/826,779 = 826,779/x
  3. Step 3: Cross multiply
    546,098x = 826,779 × 826,779
  4. Step 4: Simplify right side
    546,098x = 683,563,514,841
  5. Step 5: Solve for x
    x = 683,563,514,841/546,098
  6. Step 6: Final answer
    x = 1,251,723.16

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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.