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Finding the Third Proportional to 502,602 and 1,083,933

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Solution

The third proportional to 502,602 and 1,083,933 is: 2,337,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,602 : 1,083,933 = 1,083,933 : x
  2. Step 2: Convert to fraction form
    502,602/1,083,933 = 1,083,933/x
  3. Step 3: Cross multiply
    502,602x = 1,083,933 × 1,083,933
  4. Step 4: Simplify right side
    502,602x = 1,174,910,748,489
  5. Step 5: Solve for x
    x = 1,174,910,748,489/502,602
  6. Step 6: Final answer
    x = 2,337,656.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.