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Finding the Third Proportional to 730,476 and 1,593,828

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Solution

The third proportional to 730,476 and 1,593,828 is: 3,477,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,476 : 1,593,828 = 1,593,828 : x
  2. Step 2: Convert to fraction form
    730,476/1,593,828 = 1,593,828/x
  3. Step 3: Cross multiply
    730,476x = 1,593,828 × 1,593,828
  4. Step 4: Simplify right side
    730,476x = 2,540,287,693,584
  5. Step 5: Solve for x
    x = 2,540,287,693,584/730,476
  6. Step 6: Final answer
    x = 3,477,578.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.