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Finding the Third Proportional to 1,023,883.50 and 1,378,350

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Solution

The third proportional to 1,023,883.50 and 1,378,350 is: 1,855,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,883.50 : 1,378,350 = 1,378,350 : x
  2. Step 2: Convert to fraction form
    1,023,883.50/1,378,350 = 1,378,350/x
  3. Step 3: Cross multiply
    1,023,883.50x = 1,378,350 × 1,378,350
  4. Step 4: Simplify right side
    1,023,883.50x = 1,899,848,722,500
  5. Step 5: Solve for x
    x = 1,899,848,722,500/1,023,883.50
  6. Step 6: Final answer
    x = 1,855,532.12

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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.