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Finding the Third Proportional to 719,469 and 1,538,631

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Solution

The third proportional to 719,469 and 1,538,631 is: 3,290,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,469 : 1,538,631 = 1,538,631 : x
  2. Step 2: Convert to fraction form
    719,469/1,538,631 = 1,538,631/x
  3. Step 3: Cross multiply
    719,469x = 1,538,631 × 1,538,631
  4. Step 4: Simplify right side
    719,469x = 2,367,385,354,161
  5. Step 5: Solve for x
    x = 2,367,385,354,161/719,469
  6. Step 6: Final answer
    x = 3,290,461.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.