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Finding the Third Proportional to 827,608.64 and 1,777,697.82

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Solution

The third proportional to 827,608.64 and 1,777,697.82 is: 3,818,483.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,608.64 : 1,777,697.82 = 1,777,697.82 : x
  2. Step 2: Convert to fraction form
    827,608.64/1,777,697.82 = 1,777,697.82/x
  3. Step 3: Cross multiply
    827,608.64x = 1,777,697.82 × 1,777,697.82
  4. Step 4: Simplify right side
    827,608.64x = 3,160,209,554,232.26
  5. Step 5: Solve for x
    x = 3,160,209,554,232.26/827,608.64
  6. Step 6: Final answer
    x = 3,818,483.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.