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Finding the Third Proportional to 828,200.95 and 1,751,892.36

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Solution

The third proportional to 828,200.95 and 1,751,892.36 is: 3,705,775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,200.95 : 1,751,892.36 = 1,751,892.36 : x
  2. Step 2: Convert to fraction form
    828,200.95/1,751,892.36 = 1,751,892.36/x
  3. Step 3: Cross multiply
    828,200.95x = 1,751,892.36 × 1,751,892.36
  4. Step 4: Simplify right side
    828,200.95x = 3,069,126,852,522.99
  5. Step 5: Solve for x
    x = 3,069,126,852,522.99/828,200.95
  6. Step 6: Final answer
    x = 3,705,775.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.