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Finding the Third Proportional to 785,295 and 1,724,863.50

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Solution

The third proportional to 785,295 and 1,724,863.50 is: 3,788,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,295 : 1,724,863.50 = 1,724,863.50 : x
  2. Step 2: Convert to fraction form
    785,295/1,724,863.50 = 1,724,863.50/x
  3. Step 3: Cross multiply
    785,295x = 1,724,863.50 × 1,724,863.50
  4. Step 4: Simplify right side
    785,295x = 2,975,154,093,632.25
  5. Step 5: Solve for x
    x = 2,975,154,093,632.25/785,295
  6. Step 6: Final answer
    x = 3,788,581.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.