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Finding the Third Proportional to 962,416.69 and 2,048,672.25

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Solution

The third proportional to 962,416.69 and 2,048,672.25 is: 4,360,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,416.69 : 2,048,672.25 = 2,048,672.25 : x
  2. Step 2: Convert to fraction form
    962,416.69/2,048,672.25 = 2,048,672.25/x
  3. Step 3: Cross multiply
    962,416.69x = 2,048,672.25 × 2,048,672.25
  4. Step 4: Simplify right side
    962,416.69x = 4,197,057,987,920.06
  5. Step 5: Solve for x
    x = 4,197,057,987,920.06/962,416.69
  6. Step 6: Final answer
    x = 4,360,957.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.