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Finding the Third Proportional to 524,893.50 and 1,084,779

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Solution

The third proportional to 524,893.50 and 1,084,779 is: 2,241,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,893.50 : 1,084,779 = 1,084,779 : x
  2. Step 2: Convert to fraction form
    524,893.50/1,084,779 = 1,084,779/x
  3. Step 3: Cross multiply
    524,893.50x = 1,084,779 × 1,084,779
  4. Step 4: Simplify right side
    524,893.50x = 1,176,745,478,841
  5. Step 5: Solve for x
    x = 1,176,745,478,841/524,893.50
  6. Step 6: Final answer
    x = 2,241,874.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.