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Finding the Third Proportional to 725,284 and 1,579,604

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Solution

The third proportional to 725,284 and 1,579,604 is: 3,440,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,284 : 1,579,604 = 1,579,604 : x
  2. Step 2: Convert to fraction form
    725,284/1,579,604 = 1,579,604/x
  3. Step 3: Cross multiply
    725,284x = 1,579,604 × 1,579,604
  4. Step 4: Simplify right side
    725,284x = 2,495,148,796,816
  5. Step 5: Solve for x
    x = 2,495,148,796,816/725,284
  6. Step 6: Final answer
    x = 3,440,236.92

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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.