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Finding the Third Proportional to 4,205,896 and 6,301,827

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Solution

The third proportional to 4,205,896 and 6,301,827 is: 9,442,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205,896 : 6,301,827 = 6,301,827 : x
  2. Step 2: Convert to fraction form
    4,205,896/6,301,827 = 6,301,827/x
  3. Step 3: Cross multiply
    4,205,896x = 6,301,827 × 6,301,827
  4. Step 4: Simplify right side
    4,205,896x = 39,713,023,537,929
  5. Step 5: Solve for x
    x = 39,713,023,537,929/4,205,896
  6. Step 6: Final answer
    x = 9,442,226.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.