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Finding the Third Proportional to 563,851.13 and 1,214,954.44

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Solution

The third proportional to 563,851.13 and 1,214,954.44 is: 2,617,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,851.13 : 1,214,954.44 = 1,214,954.44 : x
  2. Step 2: Convert to fraction form
    563,851.13/1,214,954.44 = 1,214,954.44/x
  3. Step 3: Cross multiply
    563,851.13x = 1,214,954.44 × 1,214,954.44
  4. Step 4: Simplify right side
    563,851.13x = 1,476,114,285,200.94
  5. Step 5: Solve for x
    x = 1,476,114,285,200.94/563,851.13
  6. Step 6: Final answer
    x = 2,617,914.94

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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.