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Finding the Third Proportional to 828,190.50 and 1,774,479.50

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Solution

The third proportional to 828,190.50 and 1,774,479.50 is: 3,801,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,190.50 : 1,774,479.50 = 1,774,479.50 : x
  2. Step 2: Convert to fraction form
    828,190.50/1,774,479.50 = 1,774,479.50/x
  3. Step 3: Cross multiply
    828,190.50x = 1,774,479.50 × 1,774,479.50
  4. Step 4: Simplify right side
    828,190.50x = 3,148,777,495,920.25
  5. Step 5: Solve for x
    x = 3,148,777,495,920.25/828,190.50
  6. Step 6: Final answer
    x = 3,801,996.64

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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.