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Finding the Third Proportional to 673,809 and 1,476,813

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Solution

The third proportional to 673,809 and 1,476,813 is: 3,236,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,809 : 1,476,813 = 1,476,813 : x
  2. Step 2: Convert to fraction form
    673,809/1,476,813 = 1,476,813/x
  3. Step 3: Cross multiply
    673,809x = 1,476,813 × 1,476,813
  4. Step 4: Simplify right side
    673,809x = 2,180,976,636,969
  5. Step 5: Solve for x
    x = 2,180,976,636,969/673,809
  6. Step 6: Final answer
    x = 3,236,787.63

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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.