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Finding the Third Proportional to 799,647.50 and 1,655,883.63

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Solution

The third proportional to 799,647.50 and 1,655,883.63 is: 3,428,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,647.50 : 1,655,883.63 = 1,655,883.63 : x
  2. Step 2: Convert to fraction form
    799,647.50/1,655,883.63 = 1,655,883.63/x
  3. Step 3: Cross multiply
    799,647.50x = 1,655,883.63 × 1,655,883.63
  4. Step 4: Simplify right side
    799,647.50x = 2,741,950,605,416.32
  5. Step 5: Solve for x
    x = 2,741,950,605,416.32/799,647.50
  6. Step 6: Final answer
    x = 3,428,949.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.