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Finding the Third Proportional to 969,142.50 and 2,130,813

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Solution

The third proportional to 969,142.50 and 2,130,813 is: 4,684,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,142.50 : 2,130,813 = 2,130,813 : x
  2. Step 2: Convert to fraction form
    969,142.50/2,130,813 = 2,130,813/x
  3. Step 3: Cross multiply
    969,142.50x = 2,130,813 × 2,130,813
  4. Step 4: Simplify right side
    969,142.50x = 4,540,364,040,969
  5. Step 5: Solve for x
    x = 4,540,364,040,969/969,142.50
  6. Step 6: Final answer
    x = 4,684,929.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.