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Finding the Third Proportional to 679,122 and 1,413,933

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Solution

The third proportional to 679,122 and 1,413,933 is: 2,943,810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,122 : 1,413,933 = 1,413,933 : x
  2. Step 2: Convert to fraction form
    679,122/1,413,933 = 1,413,933/x
  3. Step 3: Cross multiply
    679,122x = 1,413,933 × 1,413,933
  4. Step 4: Simplify right side
    679,122x = 1,999,206,528,489
  5. Step 5: Solve for x
    x = 1,999,206,528,489/679,122
  6. Step 6: Final answer
    x = 2,943,810.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.