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Finding the Third Proportional to 828,223 and 1,774,562

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Solution

The third proportional to 828,223 and 1,774,562 is: 3,802,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,223 : 1,774,562 = 1,774,562 : x
  2. Step 2: Convert to fraction form
    828,223/1,774,562 = 1,774,562/x
  3. Step 3: Cross multiply
    828,223x = 1,774,562 × 1,774,562
  4. Step 4: Simplify right side
    828,223x = 3,149,070,291,844
  5. Step 5: Solve for x
    x = 3,149,070,291,844/828,223
  6. Step 6: Final answer
    x = 3,802,200.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.