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Finding the Third Proportional to 1,876,662.42 and 4,097,367.28

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Solution

The third proportional to 1,876,662.42 and 4,097,367.28 is: 8,945,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876,662.42 : 4,097,367.28 = 4,097,367.28 : x
  2. Step 2: Convert to fraction form
    1,876,662.42/4,097,367.28 = 4,097,367.28/x
  3. Step 3: Cross multiply
    1,876,662.42x = 4,097,367.28 × 4,097,367.28
  4. Step 4: Simplify right side
    1,876,662.42x = 16,788,418,637,458.02
  5. Step 5: Solve for x
    x = 16,788,418,637,458.02/1,876,662.42
  6. Step 6: Final answer
    x = 8,945,891.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.