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Finding the Third Proportional to 1,949,464.69 and 4,347,174.94

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Solution

The third proportional to 1,949,464.69 and 4,347,174.94 is: 9,693,907.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,464.69 : 4,347,174.94 = 4,347,174.94 : x
  2. Step 2: Convert to fraction form
    1,949,464.69/4,347,174.94 = 4,347,174.94/x
  3. Step 3: Cross multiply
    1,949,464.69x = 4,347,174.94 × 4,347,174.94
  4. Step 4: Simplify right side
    1,949,464.69x = 18,897,929,937,228.13
  5. Step 5: Solve for x
    x = 18,897,929,937,228.13/1,949,464.69
  6. Step 6: Final answer
    x = 9,693,907.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.