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Finding the Third Proportional to 850,365 and 1,318,608

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Solution

The third proportional to 850,365 and 1,318,608 is: 2,044,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,365 : 1,318,608 = 1,318,608 : x
  2. Step 2: Convert to fraction form
    850,365/1,318,608 = 1,318,608/x
  3. Step 3: Cross multiply
    850,365x = 1,318,608 × 1,318,608
  4. Step 4: Simplify right side
    850,365x = 1,738,727,057,664
  5. Step 5: Solve for x
    x = 1,738,727,057,664/850,365
  6. Step 6: Final answer
    x = 2,044,683.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.