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Finding the Third Proportional to 789,771 and 1,705,629

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Solution

The third proportional to 789,771 and 1,705,629 is: 3,683,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,771 : 1,705,629 = 1,705,629 : x
  2. Step 2: Convert to fraction form
    789,771/1,705,629 = 1,705,629/x
  3. Step 3: Cross multiply
    789,771x = 1,705,629 × 1,705,629
  4. Step 4: Simplify right side
    789,771x = 2,909,170,285,641
  5. Step 5: Solve for x
    x = 2,909,170,285,641/789,771
  6. Step 6: Final answer
    x = 3,683,561.80

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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.