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Finding the Third Proportional to 852,506.25 and 1,837,972.50

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Solution

The third proportional to 852,506.25 and 1,837,972.50 is: 3,962,601.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,506.25 : 1,837,972.50 = 1,837,972.50 : x
  2. Step 2: Convert to fraction form
    852,506.25/1,837,972.50 = 1,837,972.50/x
  3. Step 3: Cross multiply
    852,506.25x = 1,837,972.50 × 1,837,972.50
  4. Step 4: Simplify right side
    852,506.25x = 3,378,142,910,756.25
  5. Step 5: Solve for x
    x = 3,378,142,910,756.25/852,506.25
  6. Step 6: Final answer
    x = 3,962,601.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.