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Finding the Third Proportional to 854,608.50 and 1,353,260.25

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Solution

The third proportional to 854,608.50 and 1,353,260.25 is: 2,142,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,608.50 : 1,353,260.25 = 1,353,260.25 : x
  2. Step 2: Convert to fraction form
    854,608.50/1,353,260.25 = 1,353,260.25/x
  3. Step 3: Cross multiply
    854,608.50x = 1,353,260.25 × 1,353,260.25
  4. Step 4: Simplify right side
    854,608.50x = 1,831,313,304,230.06
  5. Step 5: Solve for x
    x = 1,831,313,304,230.06/854,608.50
  6. Step 6: Final answer
    x = 2,142,868.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.