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Finding the Third Proportional to 2,702,783.25 and 3,640,464

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Solution

The third proportional to 2,702,783.25 and 3,640,464 is: 4,903,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702,783.25 : 3,640,464 = 3,640,464 : x
  2. Step 2: Convert to fraction form
    2,702,783.25/3,640,464 = 3,640,464/x
  3. Step 3: Cross multiply
    2,702,783.25x = 3,640,464 × 3,640,464
  4. Step 4: Simplify right side
    2,702,783.25x = 13,252,978,135,296
  5. Step 5: Solve for x
    x = 13,252,978,135,296/2,702,783.25
  6. Step 6: Final answer
    x = 4,903,455.77

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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.