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Finding the Third Proportional to 780,998 and 1,705,204

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Solution

The third proportional to 780,998 and 1,705,204 is: 3,723,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,998 : 1,705,204 = 1,705,204 : x
  2. Step 2: Convert to fraction form
    780,998/1,705,204 = 1,705,204/x
  3. Step 3: Cross multiply
    780,998x = 1,705,204 × 1,705,204
  4. Step 4: Simplify right side
    780,998x = 2,907,720,681,616
  5. Step 5: Solve for x
    x = 2,907,720,681,616/780,998
  6. Step 6: Final answer
    x = 3,723,083.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.