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Finding the Third Proportional to 650,845.13 and 1,401,593.63

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Solution

The third proportional to 650,845.13 and 1,401,593.63 is: 3,018,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,845.13 : 1,401,593.63 = 1,401,593.63 : x
  2. Step 2: Convert to fraction form
    650,845.13/1,401,593.63 = 1,401,593.63/x
  3. Step 3: Cross multiply
    650,845.13x = 1,401,593.63 × 1,401,593.63
  4. Step 4: Simplify right side
    650,845.13x = 1,964,464,689,640.64
  5. Step 5: Solve for x
    x = 1,964,464,689,640.64/650,845.13
  6. Step 6: Final answer
    x = 3,018,328.96

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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.