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Finding the Third Proportional to 786,225 and 1,719,669

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Solution

The third proportional to 786,225 and 1,719,669 is: 3,761,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,225 : 1,719,669 = 1,719,669 : x
  2. Step 2: Convert to fraction form
    786,225/1,719,669 = 1,719,669/x
  3. Step 3: Cross multiply
    786,225x = 1,719,669 × 1,719,669
  4. Step 4: Simplify right side
    786,225x = 2,957,261,469,561
  5. Step 5: Solve for x
    x = 2,957,261,469,561/786,225
  6. Step 6: Final answer
    x = 3,761,342.45

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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.