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Finding the Third Proportional to 828,974 and 1,788,628

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Solution

The third proportional to 828,974 and 1,788,628 is: 3,859,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,974 : 1,788,628 = 1,788,628 : x
  2. Step 2: Convert to fraction form
    828,974/1,788,628 = 1,788,628/x
  3. Step 3: Cross multiply
    828,974x = 1,788,628 × 1,788,628
  4. Step 4: Simplify right side
    828,974x = 3,199,190,122,384
  5. Step 5: Solve for x
    x = 3,199,190,122,384/828,974
  6. Step 6: Final answer
    x = 3,859,216.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.