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Finding the Third Proportional to 743,674.50 and 1,610,995.50

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Solution

The third proportional to 743,674.50 and 1,610,995.50 is: 3,489,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,674.50 : 1,610,995.50 = 1,610,995.50 : x
  2. Step 2: Convert to fraction form
    743,674.50/1,610,995.50 = 1,610,995.50/x
  3. Step 3: Cross multiply
    743,674.50x = 1,610,995.50 × 1,610,995.50
  4. Step 4: Simplify right side
    743,674.50x = 2,595,306,501,020.25
  5. Step 5: Solve for x
    x = 2,595,306,501,020.25/743,674.50
  6. Step 6: Final answer
    x = 3,489,842.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.