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Finding the Third Proportional to 751,784 and 1,565,772

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Solution

The third proportional to 751,784 and 1,565,772 is: 3,261,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,784 : 1,565,772 = 1,565,772 : x
  2. Step 2: Convert to fraction form
    751,784/1,565,772 = 1,565,772/x
  3. Step 3: Cross multiply
    751,784x = 1,565,772 × 1,565,772
  4. Step 4: Simplify right side
    751,784x = 2,451,641,955,984
  5. Step 5: Solve for x
    x = 2,451,641,955,984/751,784
  6. Step 6: Final answer
    x = 3,261,098.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.