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Finding the Third Proportional to 777,640.50 and 1,617,374.25

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Solution

The third proportional to 777,640.50 and 1,617,374.25 is: 3,363,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,640.50 : 1,617,374.25 = 1,617,374.25 : x
  2. Step 2: Convert to fraction form
    777,640.50/1,617,374.25 = 1,617,374.25/x
  3. Step 3: Cross multiply
    777,640.50x = 1,617,374.25 × 1,617,374.25
  4. Step 4: Simplify right side
    777,640.50x = 2,615,899,464,563.06
  5. Step 5: Solve for x
    x = 2,615,899,464,563.06/777,640.50
  6. Step 6: Final answer
    x = 3,363,893.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.