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Finding the Third Proportional to 832,380 and 1,826,779

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Solution

The third proportional to 832,380 and 1,826,779 is: 4,009,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,380 : 1,826,779 = 1,826,779 : x
  2. Step 2: Convert to fraction form
    832,380/1,826,779 = 1,826,779/x
  3. Step 3: Cross multiply
    832,380x = 1,826,779 × 1,826,779
  4. Step 4: Simplify right side
    832,380x = 3,337,121,514,841
  5. Step 5: Solve for x
    x = 3,337,121,514,841/832,380
  6. Step 6: Final answer
    x = 4,009,132.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.