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Finding the Third Proportional to 439,260 and 962,570

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Solution

The third proportional to 439,260 and 962,570 is: 2,109,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,260 : 962,570 = 962,570 : x
  2. Step 2: Convert to fraction form
    439,260/962,570 = 962,570/x
  3. Step 3: Cross multiply
    439,260x = 962,570 × 962,570
  4. Step 4: Simplify right side
    439,260x = 926,541,004,900
  5. Step 5: Solve for x
    x = 926,541,004,900/439,260
  6. Step 6: Final answer
    x = 2,109,322.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.