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Finding the Third Proportional to 817,993.50 and 1,749,710.63

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Solution

The third proportional to 817,993.50 and 1,749,710.63 is: 3,742,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,993.50 : 1,749,710.63 = 1,749,710.63 : x
  2. Step 2: Convert to fraction form
    817,993.50/1,749,710.63 = 1,749,710.63/x
  3. Step 3: Cross multiply
    817,993.50x = 1,749,710.63 × 1,749,710.63
  4. Step 4: Simplify right side
    817,993.50x = 3,061,487,271,237.89
  5. Step 5: Solve for x
    x = 3,061,487,271,237.89/817,993.50
  6. Step 6: Final answer
    x = 3,742,679.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.