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Finding the Third Proportional to 762,360 and 1,623,324

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Solution

The third proportional to 762,360 and 1,623,324 is: 3,456,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,360 : 1,623,324 = 1,623,324 : x
  2. Step 2: Convert to fraction form
    762,360/1,623,324 = 1,623,324/x
  3. Step 3: Cross multiply
    762,360x = 1,623,324 × 1,623,324
  4. Step 4: Simplify right side
    762,360x = 2,635,180,808,976
  5. Step 5: Solve for x
    x = 2,635,180,808,976/762,360
  6. Step 6: Final answer
    x = 3,456,609.49

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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.