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Finding the Third Proportional to 614,110.50 and 1,321,533

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Solution

The third proportional to 614,110.50 and 1,321,533 is: 2,843,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,110.50 : 1,321,533 = 1,321,533 : x
  2. Step 2: Convert to fraction form
    614,110.50/1,321,533 = 1,321,533/x
  3. Step 3: Cross multiply
    614,110.50x = 1,321,533 × 1,321,533
  4. Step 4: Simplify right side
    614,110.50x = 1,746,449,470,089
  5. Step 5: Solve for x
    x = 1,746,449,470,089/614,110.50
  6. Step 6: Final answer
    x = 2,843,868.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.