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Finding the Third Proportional to 661,296 and 1,440,690

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Solution

The third proportional to 661,296 and 1,440,690 is: 3,138,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,296 : 1,440,690 = 1,440,690 : x
  2. Step 2: Convert to fraction form
    661,296/1,440,690 = 1,440,690/x
  3. Step 3: Cross multiply
    661,296x = 1,440,690 × 1,440,690
  4. Step 4: Simplify right side
    661,296x = 2,075,587,676,100
  5. Step 5: Solve for x
    x = 2,075,587,676,100/661,296
  6. Step 6: Final answer
    x = 3,138,666.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.