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Finding the Third Proportional to 1,182,473.44 and 2,593,852.88

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Solution

The third proportional to 1,182,473.44 and 2,593,852.88 is: 5,689,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,473.44 : 2,593,852.88 = 2,593,852.88 : x
  2. Step 2: Convert to fraction form
    1,182,473.44/2,593,852.88 = 2,593,852.88/x
  3. Step 3: Cross multiply
    1,182,473.44x = 2,593,852.88 × 2,593,852.88
  4. Step 4: Simplify right side
    1,182,473.44x = 6,728,072,737,145.77
  5. Step 5: Solve for x
    x = 6,728,072,737,145.77/1,182,473.44
  6. Step 6: Final answer
    x = 5,689,829.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.