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Finding the Third Proportional to 599,022 and 1,302,999.75

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Solution

The third proportional to 599,022 and 1,302,999.75 is: 2,834,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,022 : 1,302,999.75 = 1,302,999.75 : x
  2. Step 2: Convert to fraction form
    599,022/1,302,999.75 = 1,302,999.75/x
  3. Step 3: Cross multiply
    599,022x = 1,302,999.75 × 1,302,999.75
  4. Step 4: Simplify right side
    599,022x = 1,697,808,348,500.06
  5. Step 5: Solve for x
    x = 1,697,808,348,500.06/599,022
  6. Step 6: Final answer
    x = 2,834,300.49

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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.