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Finding the Third Proportional to 2,451,896 and 3,826,854

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Solution

The third proportional to 2,451,896 and 3,826,854 is: 5,972,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451,896 : 3,826,854 = 3,826,854 : x
  2. Step 2: Convert to fraction form
    2,451,896/3,826,854 = 3,826,854/x
  3. Step 3: Cross multiply
    2,451,896x = 3,826,854 × 3,826,854
  4. Step 4: Simplify right side
    2,451,896x = 14,644,811,537,316
  5. Step 5: Solve for x
    x = 14,644,811,537,316/2,451,896
  6. Step 6: Final answer
    x = 5,972,851.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.