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Finding the Third Proportional to 751,834 and 1,151,565

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Solution

The third proportional to 751,834 and 1,151,565 is: 1,763,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,834 : 1,151,565 = 1,151,565 : x
  2. Step 2: Convert to fraction form
    751,834/1,151,565 = 1,151,565/x
  3. Step 3: Cross multiply
    751,834x = 1,151,565 × 1,151,565
  4. Step 4: Simplify right side
    751,834x = 1,326,101,949,225
  5. Step 5: Solve for x
    x = 1,326,101,949,225/751,834
  6. Step 6: Final answer
    x = 1,763,822.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.