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Finding the Third Proportional to 1,077,672.94 and 1,796,049.28

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Solution

The third proportional to 1,077,672.94 and 1,796,049.28 is: 2,993,295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,672.94 : 1,796,049.28 = 1,796,049.28 : x
  2. Step 2: Convert to fraction form
    1,077,672.94/1,796,049.28 = 1,796,049.28/x
  3. Step 3: Cross multiply
    1,077,672.94x = 1,796,049.28 × 1,796,049.28
  4. Step 4: Simplify right side
    1,077,672.94x = 3,225,793,020,678.64
  5. Step 5: Solve for x
    x = 3,225,793,020,678.64/1,077,672.94
  6. Step 6: Final answer
    x = 2,993,295.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.