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Finding the Third Proportional to 962,416.69 and 1,287,903.80

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Solution

The third proportional to 962,416.69 and 1,287,903.80 is: 1,723,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,416.69 : 1,287,903.80 = 1,287,903.80 : x
  2. Step 2: Convert to fraction form
    962,416.69/1,287,903.80 = 1,287,903.80/x
  3. Step 3: Cross multiply
    962,416.69x = 1,287,903.80 × 1,287,903.80
  4. Step 4: Simplify right side
    962,416.69x = 1,658,696,190,005.04
  5. Step 5: Solve for x
    x = 1,658,696,190,005.04/962,416.69
  6. Step 6: Final answer
    x = 1,723,469.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.