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Finding the Third Proportional to 872,181.75 and 1,178,024.25

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Solution

The third proportional to 872,181.75 and 1,178,024.25 is: 1,591,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,181.75 : 1,178,024.25 = 1,178,024.25 : x
  2. Step 2: Convert to fraction form
    872,181.75/1,178,024.25 = 1,178,024.25/x
  3. Step 3: Cross multiply
    872,181.75x = 1,178,024.25 × 1,178,024.25
  4. Step 4: Simplify right side
    872,181.75x = 1,387,741,133,588.06
  5. Step 5: Solve for x
    x = 1,387,741,133,588.06/872,181.75
  6. Step 6: Final answer
    x = 1,591,114.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.