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Finding the Third Proportional to 651,698 and 1,362,983

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Solution

The third proportional to 651,698 and 1,362,983 is: 2,850,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,698 : 1,362,983 = 1,362,983 : x
  2. Step 2: Convert to fraction form
    651,698/1,362,983 = 1,362,983/x
  3. Step 3: Cross multiply
    651,698x = 1,362,983 × 1,362,983
  4. Step 4: Simplify right side
    651,698x = 1,857,722,658,289
  5. Step 5: Solve for x
    x = 1,857,722,658,289/651,698
  6. Step 6: Final answer
    x = 2,850,588.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.