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Finding the Third Proportional to 852,140.25 and 1,856,817

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Solution

The third proportional to 852,140.25 and 1,856,817 is: 4,046,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,140.25 : 1,856,817 = 1,856,817 : x
  2. Step 2: Convert to fraction form
    852,140.25/1,856,817 = 1,856,817/x
  3. Step 3: Cross multiply
    852,140.25x = 1,856,817 × 1,856,817
  4. Step 4: Simplify right side
    852,140.25x = 3,447,769,371,489
  5. Step 5: Solve for x
    x = 3,447,769,371,489/852,140.25
  6. Step 6: Final answer
    x = 4,046,011.64

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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.