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Finding the Third Proportional to 674,274 and 1,535,616

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Solution

The third proportional to 674,274 and 1,535,616 is: 3,497,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,274 : 1,535,616 = 1,535,616 : x
  2. Step 2: Convert to fraction form
    674,274/1,535,616 = 1,535,616/x
  3. Step 3: Cross multiply
    674,274x = 1,535,616 × 1,535,616
  4. Step 4: Simplify right side
    674,274x = 2,358,116,499,456
  5. Step 5: Solve for x
    x = 2,358,116,499,456/674,274
  6. Step 6: Final answer
    x = 3,497,267.43

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.