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Finding the Third Proportional to 1,114,356.75 and 2,442,324

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Solution

The third proportional to 1,114,356.75 and 2,442,324 is: 5,352,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,356.75 : 2,442,324 = 2,442,324 : x
  2. Step 2: Convert to fraction form
    1,114,356.75/2,442,324 = 2,442,324/x
  3. Step 3: Cross multiply
    1,114,356.75x = 2,442,324 × 2,442,324
  4. Step 4: Simplify right side
    1,114,356.75x = 5,964,946,520,976
  5. Step 5: Solve for x
    x = 5,964,946,520,976/1,114,356.75
  6. Step 6: Final answer
    x = 5,352,815.89

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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.