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Finding the Third Proportional to 852,300.56 and 1,420,332.47

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Solution

The third proportional to 852,300.56 and 1,420,332.47 is: 2,366,940.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,300.56 : 1,420,332.47 = 1,420,332.47 : x
  2. Step 2: Convert to fraction form
    852,300.56/1,420,332.47 = 1,420,332.47/x
  3. Step 3: Cross multiply
    852,300.56x = 1,420,332.47 × 1,420,332.47
  4. Step 4: Simplify right side
    852,300.56x = 2,017,344,321,785.47
  5. Step 5: Solve for x
    x = 2,017,344,321,785.47/852,300.56
  6. Step 6: Final answer
    x = 2,366,940.03

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.