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Finding the Third Proportional to 817,976 and 1,675,616

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Solution

The third proportional to 817,976 and 1,675,616 is: 3,432,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,976 : 1,675,616 = 1,675,616 : x
  2. Step 2: Convert to fraction form
    817,976/1,675,616 = 1,675,616/x
  3. Step 3: Cross multiply
    817,976x = 1,675,616 × 1,675,616
  4. Step 4: Simplify right side
    817,976x = 2,807,688,979,456
  5. Step 5: Solve for x
    x = 2,807,688,979,456/817,976
  6. Step 6: Final answer
    x = 3,432,483.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.